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Finding the Fourth Proportional to 51,808.61, 71,495.80 and 29,147.61

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Solution

The fourth proportional to 51,808.61, 71,495.80 and 29,147.61 is: 40,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.61 : 71,495.80 = 29,147.61 : x
  2. Step 2: Convert to fraction form
    51,808.61/71,495.80 = 29,147.61/x
  3. Step 3: Cross multiply
    51,808.61x = 71,495.80 × 29,147.61
  4. Step 4: Simplify right side
    51,808.61x = 2,083,931,890.28
  5. Step 5: Solve for x
    x = 2,083,931,890.28/51,808.61
  6. Step 6: Final answer
    x = 40,223.66

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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.