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Finding the Fourth Proportional to 102,884.78, 142,010.88 and 59,874.32

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Solution

The fourth proportional to 102,884.78, 142,010.88 and 59,874.32 is: 82,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,884.78 : 142,010.88 = 59,874.32 : x
  2. Step 2: Convert to fraction form
    102,884.78/142,010.88 = 59,874.32/x
  3. Step 3: Cross multiply
    102,884.78x = 142,010.88 × 59,874.32
  4. Step 4: Simplify right side
    102,884.78x = 8,502,804,872.60
  5. Step 5: Solve for x
    x = 8,502,804,872.60/102,884.78
  6. Step 6: Final answer
    x = 82,643.95

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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.