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Finding the Fourth Proportional to 71,681.63, 98,798.72 and 48,981.20

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Solution

The fourth proportional to 71,681.63, 98,798.72 and 48,981.20 is: 67,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,681.63 : 98,798.72 = 48,981.20 : x
  2. Step 2: Convert to fraction form
    71,681.63/98,798.72 = 48,981.20/x
  3. Step 3: Cross multiply
    71,681.63x = 98,798.72 × 48,981.20
  4. Step 4: Simplify right side
    71,681.63x = 4,839,279,125.16
  5. Step 5: Solve for x
    x = 4,839,279,125.16/71,681.63
  6. Step 6: Final answer
    x = 67,510.73

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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.