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Finding the Fourth Proportional to 78,118.96, 117,219.76 and 42,605.92

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Solution

The fourth proportional to 78,118.96, 117,219.76 and 42,605.92 is: 63,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,118.96 : 117,219.76 = 42,605.92 : x
  2. Step 2: Convert to fraction form
    78,118.96/117,219.76 = 42,605.92/x
  3. Step 3: Cross multiply
    78,118.96x = 117,219.76 × 42,605.92
  4. Step 4: Simplify right side
    78,118.96x = 4,994,255,716.98
  5. Step 5: Solve for x
    x = 4,994,255,716.98/78,118.96
  6. Step 6: Final answer
    x = 63,931.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.