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Finding the Fourth Proportional to 51,404.64, 77,114.18 and 15,868.86

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Solution

The fourth proportional to 51,404.64, 77,114.18 and 15,868.86 is: 23,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,404.64 : 77,114.18 = 15,868.86 : x
  2. Step 2: Convert to fraction form
    51,404.64/77,114.18 = 15,868.86/x
  3. Step 3: Cross multiply
    51,404.64x = 77,114.18 × 15,868.86
  4. Step 4: Simplify right side
    51,404.64x = 1,223,714,126.43
  5. Step 5: Solve for x
    x = 1,223,714,126.43/51,404.64
  6. Step 6: Final answer
    x = 23,805.52

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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.