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Finding the Fourth Proportional to 76,881,347.07, 115,330,978.41 and 27,010,841.61

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Solution

The fourth proportional to 76,881,347.07, 115,330,978.41 and 27,010,841.61 is: 40,519,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881,347.07 : 115,330,978.41 = 27,010,841.61 : x
  2. Step 2: Convert to fraction form
    76,881,347.07/115,330,978.41 = 27,010,841.61/x
  3. Step 3: Cross multiply
    76,881,347.07x = 115,330,978.41 × 27,010,841.61
  4. Step 4: Simplify right side
    76,881,347.07x = 3,115,186,790,558,839.50
  5. Step 5: Solve for x
    x = 3,115,186,790,558,839.50/76,881,347.07
  6. Step 6: Final answer
    x = 40,519,409.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.