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Finding the Fourth Proportional to 71,429.40, 107,152.11 and 29,307.78

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Solution

The fourth proportional to 71,429.40, 107,152.11 and 29,307.78 is: 43,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,429.40 : 107,152.11 = 29,307.78 : x
  2. Step 2: Convert to fraction form
    71,429.40/107,152.11 = 29,307.78/x
  3. Step 3: Cross multiply
    71,429.40x = 107,152.11 × 29,307.78
  4. Step 4: Simplify right side
    71,429.40x = 3,140,390,466.42
  5. Step 5: Solve for x
    x = 3,140,390,466.42/71,429.40
  6. Step 6: Final answer
    x = 43,964.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.