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Finding the Fourth Proportional to 105,641.28, 158,470.56 and 43,312.32

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Solution

The fourth proportional to 105,641.28, 158,470.56 and 43,312.32 is: 64,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,641.28 : 158,470.56 = 43,312.32 : x
  2. Step 2: Convert to fraction form
    105,641.28/158,470.56 = 43,312.32/x
  3. Step 3: Cross multiply
    105,641.28x = 158,470.56 × 43,312.32
  4. Step 4: Simplify right side
    105,641.28x = 6,863,727,605.30
  5. Step 5: Solve for x
    x = 6,863,727,605.30/105,641.28
  6. Step 6: Final answer
    x = 64,972.02

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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.