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Finding the Fourth Proportional to 157,689.65, 217,617.64 and 89,712.83

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Solution

The fourth proportional to 157,689.65, 217,617.64 and 89,712.83 is: 123,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,689.65 : 217,617.64 = 89,712.83 : x
  2. Step 2: Convert to fraction form
    157,689.65/217,617.64 = 89,712.83/x
  3. Step 3: Cross multiply
    157,689.65x = 217,617.64 × 89,712.83
  4. Step 4: Simplify right side
    157,689.65x = 19,523,094,662.08
  5. Step 5: Solve for x
    x = 19,523,094,662.08/157,689.65
  6. Step 6: Final answer
    x = 123,807.08

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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.