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Finding the Fourth Proportional to 257,690.82, 386,572.66 and 99,935.22

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Solution

The fourth proportional to 257,690.82, 386,572.66 and 99,935.22 is: 149,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690.82 : 386,572.66 = 99,935.22 : x
  2. Step 2: Convert to fraction form
    257,690.82/386,572.66 = 99,935.22/x
  3. Step 3: Cross multiply
    257,690.82x = 386,572.66 × 99,935.22
  4. Step 4: Simplify right side
    257,690.82x = 38,632,223,823.09
  5. Step 5: Solve for x
    x = 38,632,223,823.09/257,690.82
  6. Step 6: Final answer
    x = 149,916.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.