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Finding the Fourth Proportional to 70,156.50, 96,822.63 and 38,330.19

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Solution

The fourth proportional to 70,156.50, 96,822.63 and 38,330.19 is: 52,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,156.50 : 96,822.63 = 38,330.19 : x
  2. Step 2: Convert to fraction form
    70,156.50/96,822.63 = 38,330.19/x
  3. Step 3: Cross multiply
    70,156.50x = 96,822.63 × 38,330.19
  4. Step 4: Simplify right side
    70,156.50x = 3,711,229,804.20
  5. Step 5: Solve for x
    x = 3,711,229,804.20/70,156.50
  6. Step 6: Final answer
    x = 52,899.30

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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.