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Finding the Fourth Proportional to 99,539.70, 137,364.76 and 54,827.70

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Solution

The fourth proportional to 99,539.70, 137,364.76 and 54,827.70 is: 75,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,539.70 : 137,364.76 = 54,827.70 : x
  2. Step 2: Convert to fraction form
    99,539.70/137,364.76 = 54,827.70/x
  3. Step 3: Cross multiply
    99,539.70x = 137,364.76 × 54,827.70
  4. Step 4: Simplify right side
    99,539.70x = 7,531,393,851.85
  5. Step 5: Solve for x
    x = 7,531,393,851.85/99,539.70
  6. Step 6: Final answer
    x = 75,662.21

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1.5x scale

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.