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Finding the Fourth Proportional to 157,881.52, 217,876.13 and 86,262.08

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Solution

The fourth proportional to 157,881.52, 217,876.13 and 86,262.08 is: 119,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,881.52 : 217,876.13 = 86,262.08 : x
  2. Step 2: Convert to fraction form
    157,881.52/217,876.13 = 86,262.08/x
  3. Step 3: Cross multiply
    157,881.52x = 217,876.13 × 86,262.08
  4. Step 4: Simplify right side
    157,881.52x = 18,794,448,184.50
  5. Step 5: Solve for x
    x = 18,794,448,184.50/157,881.52
  6. Step 6: Final answer
    x = 119,041.47

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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.