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Finding the Fourth Proportional to 105,757.61, 145,952.93 and 60,442.30

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Solution

The fourth proportional to 105,757.61, 145,952.93 and 60,442.30 is: 83,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,757.61 : 145,952.93 = 60,442.30 : x
  2. Step 2: Convert to fraction form
    105,757.61/145,952.93 = 60,442.30/x
  3. Step 3: Cross multiply
    105,757.61x = 145,952.93 × 60,442.30
  4. Step 4: Simplify right side
    105,757.61x = 8,821,730,340.50
  5. Step 5: Solve for x
    x = 8,821,730,340.50/105,757.61
  6. Step 6: Final answer
    x = 83,414.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.