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Finding the Fourth Proportional to 70,152.86, 96,809.38 and 38,321.89

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Solution

The fourth proportional to 70,152.86, 96,809.38 and 38,321.89 is: 52,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152.86 : 96,809.38 = 38,321.89 : x
  2. Step 2: Convert to fraction form
    70,152.86/96,809.38 = 38,321.89/x
  3. Step 3: Cross multiply
    70,152.86x = 96,809.38 × 38,321.89
  4. Step 4: Simplify right side
    70,152.86x = 3,709,918,073.50
  5. Step 5: Solve for x
    x = 3,709,918,073.50/70,152.86
  6. Step 6: Final answer
    x = 52,883.35

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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.