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Finding the Fourth Proportional to 51,889, 77,708.80 and 29,635

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Solution

The fourth proportional to 51,889, 77,708.80 and 29,635 is: 44,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,889 : 77,708.80 = 29,635 : x
  2. Step 2: Convert to fraction form
    51,889/77,708.80 = 29,635/x
  3. Step 3: Cross multiply
    51,889x = 77,708.80 × 29,635
  4. Step 4: Simplify right side
    51,889x = 2,302,900,288
  5. Step 5: Solve for x
    x = 2,302,900,288/51,889
  6. Step 6: Final answer
    x = 44,381.28

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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.