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Finding the Fourth Proportional to 78,684.68, 118,061.90 and 41,235.84

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Solution

The fourth proportional to 78,684.68, 118,061.90 and 41,235.84 is: 61,872.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684.68 : 118,061.90 = 41,235.84 : x
  2. Step 2: Convert to fraction form
    78,684.68/118,061.90 = 41,235.84/x
  3. Step 3: Cross multiply
    78,684.68x = 118,061.90 × 41,235.84
  4. Step 4: Simplify right side
    78,684.68x = 4,868,381,412.32
  5. Step 5: Solve for x
    x = 4,868,381,412.32/78,684.68
  6. Step 6: Final answer
    x = 61,872.04

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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.