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Finding the Fourth Proportional to 78,543.75, 108,389.54 and 46,711.95

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Solution

The fourth proportional to 78,543.75, 108,389.54 and 46,711.95 is: 64,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543.75 : 108,389.54 = 46,711.95 : x
  2. Step 2: Convert to fraction form
    78,543.75/108,389.54 = 46,711.95/x
  3. Step 3: Cross multiply
    78,543.75x = 108,389.54 × 46,711.95
  4. Step 4: Simplify right side
    78,543.75x = 5,063,086,539.44
  5. Step 5: Solve for x
    x = 5,063,086,539.44/78,543.75
  6. Step 6: Final answer
    x = 64,461.99

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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.