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Finding the Fourth Proportional to 96,395.20, 144,506.40 and 85,897.60

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Solution

The fourth proportional to 96,395.20, 144,506.40 and 85,897.60 is: 128,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,395.20 : 144,506.40 = 85,897.60 : x
  2. Step 2: Convert to fraction form
    96,395.20/144,506.40 = 85,897.60/x
  3. Step 3: Cross multiply
    96,395.20x = 144,506.40 × 85,897.60
  4. Step 4: Simplify right side
    96,395.20x = 12,412,752,944.64
  5. Step 5: Solve for x
    x = 12,412,752,944.64/96,395.20
  6. Step 6: Final answer
    x = 128,769.41

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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.