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Finding the Fourth Proportional to 105,319.61, 157,963.85 and 38,744.17

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Solution

The fourth proportional to 105,319.61, 157,963.85 and 38,744.17 is: 58,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,319.61 : 157,963.85 = 38,744.17 : x
  2. Step 2: Convert to fraction form
    105,319.61/157,963.85 = 38,744.17/x
  3. Step 3: Cross multiply
    105,319.61x = 157,963.85 × 38,744.17
  4. Step 4: Simplify right side
    105,319.61x = 6,120,178,064.53
  5. Step 5: Solve for x
    x = 6,120,178,064.53/105,319.61
  6. Step 6: Final answer
    x = 58,110.53

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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.