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Finding the Fourth Proportional to 71,800, 99,166.98 and 47,885.20

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Solution

The fourth proportional to 71,800, 99,166.98 and 47,885.20 is: 66,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,800 : 99,166.98 = 47,885.20 : x
  2. Step 2: Convert to fraction form
    71,800/99,166.98 = 47,885.20/x
  3. Step 3: Cross multiply
    71,800x = 99,166.98 × 47,885.20
  4. Step 4: Simplify right side
    71,800x = 4,748,630,670.70
  5. Step 5: Solve for x
    x = 4,748,630,670.70/71,800
  6. Step 6: Final answer
    x = 66,136.92

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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.