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Finding the Fourth Proportional to 70,219.52, 96,900 and 38,388.32

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Solution

The fourth proportional to 70,219.52, 96,900 and 38,388.32 is: 52,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,219.52 : 96,900 = 38,388.32 : x
  2. Step 2: Convert to fraction form
    70,219.52/96,900 = 38,388.32/x
  3. Step 3: Cross multiply
    70,219.52x = 96,900 × 38,388.32
  4. Step 4: Simplify right side
    70,219.52x = 3,719,828,208
  5. Step 5: Solve for x
    x = 3,719,828,208/70,219.52
  6. Step 6: Final answer
    x = 52,974.28

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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.