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Finding the Fourth Proportional to 105,329.93, 157,921.07 and 38,761.40

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Solution

The fourth proportional to 105,329.93, 157,921.07 and 38,761.40 is: 58,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,329.93 : 157,921.07 = 38,761.40 : x
  2. Step 2: Convert to fraction form
    105,329.93/157,921.07 = 38,761.40/x
  3. Step 3: Cross multiply
    105,329.93x = 157,921.07 × 38,761.40
  4. Step 4: Simplify right side
    105,329.93x = 6,121,241,963.69
  5. Step 5: Solve for x
    x = 6,121,241,963.69/105,329.93
  6. Step 6: Final answer
    x = 58,114.94

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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.