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Finding the Fourth Proportional to 71,886.78, 99,150.98 and 47,643.90

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Solution

The fourth proportional to 71,886.78, 99,150.98 and 47,643.90 is: 65,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886.78 : 99,150.98 = 47,643.90 : x
  2. Step 2: Convert to fraction form
    71,886.78/99,150.98 = 47,643.90/x
  3. Step 3: Cross multiply
    71,886.78x = 99,150.98 × 47,643.90
  4. Step 4: Simplify right side
    71,886.78x = 4,723,939,376.02
  5. Step 5: Solve for x
    x = 4,723,939,376.02/71,886.78
  6. Step 6: Final answer
    x = 65,713.60

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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.