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Finding the Fourth Proportional to 65,229.20, 97,843.80 and 42,678.80

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Solution

The fourth proportional to 65,229.20, 97,843.80 and 42,678.80 is: 64,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,229.20 : 97,843.80 = 42,678.80 : x
  2. Step 2: Convert to fraction form
    65,229.20/97,843.80 = 42,678.80/x
  3. Step 3: Cross multiply
    65,229.20x = 97,843.80 × 42,678.80
  4. Step 4: Simplify right side
    65,229.20x = 4,175,855,971.44
  5. Step 5: Solve for x
    x = 4,175,855,971.44/65,229.20
  6. Step 6: Final answer
    x = 64,018.20

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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.