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Finding the Fourth Proportional to 257,743.43, 386,670.75 and 77,813.93

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Solution

The fourth proportional to 257,743.43, 386,670.75 and 77,813.93 is: 116,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,743.43 : 386,670.75 = 77,813.93 : x
  2. Step 2: Convert to fraction form
    257,743.43/386,670.75 = 77,813.93/x
  3. Step 3: Cross multiply
    257,743.43x = 386,670.75 × 77,813.93
  4. Step 4: Simplify right side
    257,743.43x = 30,088,369,032.00
  5. Step 5: Solve for x
    x = 30,088,369,032.00/257,743.43
  6. Step 6: Final answer
    x = 116,737.68

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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.