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Finding the Fourth Proportional to 70,478, 97,258.96 and 38,646.80

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Solution

The fourth proportional to 70,478, 97,258.96 and 38,646.80 is: 53,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,478 : 97,258.96 = 38,646.80 : x
  2. Step 2: Convert to fraction form
    70,478/97,258.96 = 38,646.80/x
  3. Step 3: Cross multiply
    70,478x = 97,258.96 × 38,646.80
  4. Step 4: Simplify right side
    70,478x = 3,758,747,575.33
  5. Step 5: Solve for x
    x = 3,758,747,575.33/70,478
  6. Step 6: Final answer
    x = 53,332.21

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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.