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Finding the Fourth Proportional to 100,242.50, 138,334.65 and 59,957.96

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Solution

The fourth proportional to 100,242.50, 138,334.65 and 59,957.96 is: 82,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,242.50 : 138,334.65 = 59,957.96 : x
  2. Step 2: Convert to fraction form
    100,242.50/138,334.65 = 59,957.96/x
  3. Step 3: Cross multiply
    100,242.50x = 138,334.65 × 59,957.96
  4. Step 4: Simplify right side
    100,242.50x = 8,294,263,411.31
  5. Step 5: Solve for x
    x = 8,294,263,411.31/100,242.50
  6. Step 6: Final answer
    x = 82,741.98

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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.