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Finding the Fourth Proportional to 230,070.66, 345,140.82 and 72,284.28

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Solution

The fourth proportional to 230,070.66, 345,140.82 and 72,284.28 is: 108,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,070.66 : 345,140.82 = 72,284.28 : x
  2. Step 2: Convert to fraction form
    230,070.66/345,140.82 = 72,284.28/x
  3. Step 3: Cross multiply
    230,070.66x = 345,140.82 × 72,284.28
  4. Step 4: Simplify right side
    230,070.66x = 24,948,255,672.31
  5. Step 5: Solve for x
    x = 24,948,255,672.31/230,070.66
  6. Step 6: Final answer
    x = 108,437.36

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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.