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Finding the Fourth Proportional to 242,900.50, 364,409.10 and 76,688.50

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Solution

The fourth proportional to 242,900.50, 364,409.10 and 76,688.50 is: 115,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,900.50 : 364,409.10 = 76,688.50 : x
  2. Step 2: Convert to fraction form
    242,900.50/364,409.10 = 76,688.50/x
  3. Step 3: Cross multiply
    242,900.50x = 364,409.10 × 76,688.50
  4. Step 4: Simplify right side
    242,900.50x = 27,945,987,265.35
  5. Step 5: Solve for x
    x = 27,945,987,265.35/242,900.50
  6. Step 6: Final answer
    x = 115,051.17

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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.