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Finding the Fourth Proportional to 78,649, 108,535.62 and 45,125.80

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Solution

The fourth proportional to 78,649, 108,535.62 and 45,125.80 is: 62,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649 : 108,535.62 = 45,125.80 : x
  2. Step 2: Convert to fraction form
    78,649/108,535.62 = 45,125.80/x
  3. Step 3: Cross multiply
    78,649x = 108,535.62 × 45,125.80
  4. Step 4: Simplify right side
    78,649x = 4,897,756,681.00
  5. Step 5: Solve for x
    x = 4,897,756,681.00/78,649
  6. Step 6: Final answer
    x = 62,273.60

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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.