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Finding the Fourth Proportional to 151,491.52, 209,059.10 and 86,943.40

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Solution

The fourth proportional to 151,491.52, 209,059.10 and 86,943.40 is: 119,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,491.52 : 209,059.10 = 86,943.40 : x
  2. Step 2: Convert to fraction form
    151,491.52/209,059.10 = 86,943.40/x
  3. Step 3: Cross multiply
    151,491.52x = 209,059.10 × 86,943.40
  4. Step 4: Simplify right side
    151,491.52x = 18,176,308,954.94
  5. Step 5: Solve for x
    x = 18,176,308,954.94/151,491.52
  6. Step 6: Final answer
    x = 119,982.35

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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.