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Finding the Fourth Proportional to 70,644.32, 97,490.92 and 38,815.28

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Solution

The fourth proportional to 70,644.32, 97,490.92 and 38,815.28 is: 53,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,644.32 : 97,490.92 = 38,815.28 : x
  2. Step 2: Convert to fraction form
    70,644.32/97,490.92 = 38,815.28/x
  3. Step 3: Cross multiply
    70,644.32x = 97,490.92 × 38,815.28
  4. Step 4: Simplify right side
    70,644.32x = 3,784,137,357.26
  5. Step 5: Solve for x
    x = 3,784,137,357.26/70,644.32
  6. Step 6: Final answer
    x = 53,566.05

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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.