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Finding the Fourth Proportional to 102,079.80, 140,870.52 and 56,761.92

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Solution

The fourth proportional to 102,079.80, 140,870.52 and 56,761.92 is: 78,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,079.80 : 140,870.52 = 56,761.92 : x
  2. Step 2: Convert to fraction form
    102,079.80/140,870.52 = 56,761.92/x
  3. Step 3: Cross multiply
    102,079.80x = 140,870.52 × 56,761.92
  4. Step 4: Simplify right side
    102,079.80x = 7,996,081,186.60
  5. Step 5: Solve for x
    x = 7,996,081,186.60/102,079.80
  6. Step 6: Final answer
    x = 78,331.67

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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.