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Finding the Fourth Proportional to 103,602.64, 142,972.20 and 61,182.10

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Solution

The fourth proportional to 103,602.64, 142,972.20 and 61,182.10 is: 84,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,602.64 : 142,972.20 = 61,182.10 : x
  2. Step 2: Convert to fraction form
    103,602.64/142,972.20 = 61,182.10/x
  3. Step 3: Cross multiply
    103,602.64x = 142,972.20 × 61,182.10
  4. Step 4: Simplify right side
    103,602.64x = 8,747,339,437.62
  5. Step 5: Solve for x
    x = 8,747,339,437.62/103,602.64
  6. Step 6: Final answer
    x = 84,431.63

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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.