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Finding the Fourth Proportional to 257,776.29, 386,670.92 and 70,787.25

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Solution

The fourth proportional to 257,776.29, 386,670.92 and 70,787.25 is: 106,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,776.29 : 386,670.92 = 70,787.25 : x
  2. Step 2: Convert to fraction form
    257,776.29/386,670.92 = 70,787.25/x
  3. Step 3: Cross multiply
    257,776.29x = 386,670.92 × 70,787.25
  4. Step 4: Simplify right side
    257,776.29x = 27,371,370,727.83
  5. Step 5: Solve for x
    x = 27,371,370,727.83/257,776.29
  6. Step 6: Final answer
    x = 106,182.65

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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.