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Finding the Fourth Proportional to 157,931.64, 217,956.16 and 89,038.08

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Solution

The fourth proportional to 157,931.64, 217,956.16 and 89,038.08 is: 122,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,931.64 : 217,956.16 = 89,038.08 : x
  2. Step 2: Convert to fraction form
    157,931.64/217,956.16 = 89,038.08/x
  3. Step 3: Cross multiply
    157,931.64x = 217,956.16 × 89,038.08
  4. Step 4: Simplify right side
    157,931.64x = 19,406,398,010.57
  5. Step 5: Solve for x
    x = 19,406,398,010.57/157,931.64
  6. Step 6: Final answer
    x = 122,878.47

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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.