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Finding the Fourth Proportional to 143,909.70, 198,590.85 and 78,496.08

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Solution

The fourth proportional to 143,909.70, 198,590.85 and 78,496.08 is: 108,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,909.70 : 198,590.85 = 78,496.08 : x
  2. Step 2: Convert to fraction form
    143,909.70/198,590.85 = 78,496.08/x
  3. Step 3: Cross multiply
    143,909.70x = 198,590.85 × 78,496.08
  4. Step 4: Simplify right side
    143,909.70x = 15,588,603,248.87
  5. Step 5: Solve for x
    x = 15,588,603,248.87/143,909.70
  6. Step 6: Final answer
    x = 108,322.12

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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.