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Finding the Fourth Proportional to 78,915.57, 118,373.64 and 19,751.07

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Solution

The fourth proportional to 78,915.57, 118,373.64 and 19,751.07 is: 29,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,915.57 : 118,373.64 = 19,751.07 : x
  2. Step 2: Convert to fraction form
    78,915.57/118,373.64 = 19,751.07/x
  3. Step 3: Cross multiply
    78,915.57x = 118,373.64 × 19,751.07
  4. Step 4: Simplify right side
    78,915.57x = 2,338,006,049.79
  5. Step 5: Solve for x
    x = 2,338,006,049.79/78,915.57
  6. Step 6: Final answer
    x = 29,626.68

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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.