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Finding the Fourth Proportional to 78,506.59, 108,338.05 and 42,695.83

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Solution

The fourth proportional to 78,506.59, 108,338.05 and 42,695.83 is: 58,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,506.59 : 108,338.05 = 42,695.83 : x
  2. Step 2: Convert to fraction form
    78,506.59/108,338.05 = 42,695.83/x
  3. Step 3: Cross multiply
    78,506.59x = 108,338.05 × 42,695.83
  4. Step 4: Simplify right side
    78,506.59x = 4,625,582,751.85
  5. Step 5: Solve for x
    x = 4,625,582,751.85/78,506.59
  6. Step 6: Final answer
    x = 58,919.67

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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.