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Finding the Fourth Proportional to 157,689.83, 217,681.95 and 106,776.47

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Solution

The fourth proportional to 157,689.83, 217,681.95 and 106,776.47 is: 147,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,689.83 : 217,681.95 = 106,776.47 : x
  2. Step 2: Convert to fraction form
    157,689.83/217,681.95 = 106,776.47/x
  3. Step 3: Cross multiply
    157,689.83x = 217,681.95 × 106,776.47
  4. Step 4: Simplify right side
    157,689.83x = 23,243,308,581.42
  5. Step 5: Solve for x
    x = 23,243,308,581.42/157,689.83
  6. Step 6: Final answer
    x = 147,398.91

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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.