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Finding the Fourth Proportional to 105,744.32, 145,930.32 and 58,000.40

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Solution

The fourth proportional to 105,744.32, 145,930.32 and 58,000.40 is: 80,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,744.32 : 145,930.32 = 58,000.40 : x
  2. Step 2: Convert to fraction form
    105,744.32/145,930.32 = 58,000.40/x
  3. Step 3: Cross multiply
    105,744.32x = 145,930.32 × 58,000.40
  4. Step 4: Simplify right side
    105,744.32x = 8,464,016,932.13
  5. Step 5: Solve for x
    x = 8,464,016,932.13/105,744.32
  6. Step 6: Final answer
    x = 80,042.28

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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.