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Finding the Fourth Proportional to 61,851.78, 92,620.66 and 51,830.18

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Solution

The fourth proportional to 61,851.78, 92,620.66 and 51,830.18 is: 77,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,851.78 : 92,620.66 = 51,830.18 : x
  2. Step 2: Convert to fraction form
    61,851.78/92,620.66 = 51,830.18/x
  3. Step 3: Cross multiply
    61,851.78x = 92,620.66 × 51,830.18
  4. Step 4: Simplify right side
    61,851.78x = 4,800,545,479.52
  5. Step 5: Solve for x
    x = 4,800,545,479.52/61,851.78
  6. Step 6: Final answer
    x = 77,613.70

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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.