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Finding the Fourth Proportional to 85,824.80, 128,737.20 and 78,221.60

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Solution

The fourth proportional to 85,824.80, 128,737.20 and 78,221.60 is: 117,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824.80 : 128,737.20 = 78,221.60 : x
  2. Step 2: Convert to fraction form
    85,824.80/128,737.20 = 78,221.60/x
  3. Step 3: Cross multiply
    85,824.80x = 128,737.20 × 78,221.60
  4. Step 4: Simplify right side
    85,824.80x = 10,070,029,763.52
  5. Step 5: Solve for x
    x = 10,070,029,763.52/85,824.80
  6. Step 6: Final answer
    x = 117,332.40

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1.5x scale

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.