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Finding the Fourth Proportional to 83,465.60, 125,028.30 and 51,778.40

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Solution

The fourth proportional to 83,465.60, 125,028.30 and 51,778.40 is: 77,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,465.60 : 125,028.30 = 51,778.40 : x
  2. Step 2: Convert to fraction form
    83,465.60/125,028.30 = 51,778.40/x
  3. Step 3: Cross multiply
    83,465.60x = 125,028.30 × 51,778.40
  4. Step 4: Simplify right side
    83,465.60x = 6,473,765,328.72
  5. Step 5: Solve for x
    x = 6,473,765,328.72/83,465.60
  6. Step 6: Final answer
    x = 77,562.08

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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.