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Finding the Fourth Proportional to 100,862.56, 139,189.16 and 55,539.60

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Solution

The fourth proportional to 100,862.56, 139,189.16 and 55,539.60 is: 76,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,862.56 : 139,189.16 = 55,539.60 : x
  2. Step 2: Convert to fraction form
    100,862.56/139,189.16 = 55,539.60/x
  3. Step 3: Cross multiply
    100,862.56x = 139,189.16 × 55,539.60
  4. Step 4: Simplify right side
    100,862.56x = 7,730,510,270.74
  5. Step 5: Solve for x
    x = 7,730,510,270.74/100,862.56
  6. Step 6: Final answer
    x = 76,644.00

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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.