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Finding the Fourth Proportional to 128,374.49, 177,143.22 and 71,004.69

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Solution

The fourth proportional to 128,374.49, 177,143.22 and 71,004.69 is: 97,978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,374.49 : 177,143.22 = 71,004.69 : x
  2. Step 2: Convert to fraction form
    128,374.49/177,143.22 = 71,004.69/x
  3. Step 3: Cross multiply
    128,374.49x = 177,143.22 × 71,004.69
  4. Step 4: Simplify right side
    128,374.49x = 12,577,999,421.70
  5. Step 5: Solve for x
    x = 12,577,999,421.70/128,374.49
  6. Step 6: Final answer
    x = 97,978.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.