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Finding the Fourth Proportional to 101,812.46, 140,583.74 and 63,616.50

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Solution

The fourth proportional to 101,812.46, 140,583.74 and 63,616.50 is: 87,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,812.46 : 140,583.74 = 63,616.50 : x
  2. Step 2: Convert to fraction form
    101,812.46/140,583.74 = 63,616.50/x
  3. Step 3: Cross multiply
    101,812.46x = 140,583.74 × 63,616.50
  4. Step 4: Simplify right side
    101,812.46x = 8,943,445,177.63
  5. Step 5: Solve for x
    x = 8,943,445,177.63/101,812.46
  6. Step 6: Final answer
    x = 87,842.35

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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.