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Finding the Fourth Proportional to 70,200, 96,875.82 and 38,369.12

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Solution

The fourth proportional to 70,200, 96,875.82 and 38,369.12 is: 52,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,200 : 96,875.82 = 38,369.12 : x
  2. Step 2: Convert to fraction form
    70,200/96,875.82 = 38,369.12/x
  3. Step 3: Cross multiply
    70,200x = 96,875.82 × 38,369.12
  4. Step 4: Simplify right side
    70,200x = 3,717,039,962.68
  5. Step 5: Solve for x
    x = 3,717,039,962.68/70,200
  6. Step 6: Final answer
    x = 52,949.29

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1.5x scale

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.