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Finding the Fourth Proportional to 71,581.64, 98,875.62 and 54,482

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Solution

The fourth proportional to 71,581.64, 98,875.62 and 54,482 is: 75,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,581.64 : 98,875.62 = 54,482 : x
  2. Step 2: Convert to fraction form
    71,581.64/98,875.62 = 54,482/x
  3. Step 3: Cross multiply
    71,581.64x = 98,875.62 × 54,482
  4. Step 4: Simplify right side
    71,581.64x = 5,386,941,528.84
  5. Step 5: Solve for x
    x = 5,386,941,528.84/71,581.64
  6. Step 6: Final answer
    x = 75,255.91

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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.