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Finding the Fourth Proportional to 157,913.60, 217,920.32 and 86,294.08

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Solution

The fourth proportional to 157,913.60, 217,920.32 and 86,294.08 is: 119,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,913.60 : 217,920.32 = 86,294.08 : x
  2. Step 2: Convert to fraction form
    157,913.60/217,920.32 = 86,294.08/x
  3. Step 3: Cross multiply
    157,913.60x = 217,920.32 × 86,294.08
  4. Step 4: Simplify right side
    157,913.60x = 18,805,233,527.71
  5. Step 5: Solve for x
    x = 18,805,233,527.71/157,913.60
  6. Step 6: Final answer
    x = 119,085.59

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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.