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Finding the Fourth Proportional to 77,376.98, 106,724.94 and 71,023.76

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Solution

The fourth proportional to 77,376.98, 106,724.94 and 71,023.76 is: 97,962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,376.98 : 106,724.94 = 71,023.76 : x
  2. Step 2: Convert to fraction form
    77,376.98/106,724.94 = 71,023.76/x
  3. Step 3: Cross multiply
    77,376.98x = 106,724.94 × 71,023.76
  4. Step 4: Simplify right side
    77,376.98x = 7,580,006,524.57
  5. Step 5: Solve for x
    x = 7,580,006,524.57/77,376.98
  6. Step 6: Final answer
    x = 97,962.04

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1.5x scale

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.