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Finding the Fourth Proportional to 99,759.84, 137,671.50 and 54,440.74

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Solution

The fourth proportional to 99,759.84, 137,671.50 and 54,440.74 is: 75,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,759.84 : 137,671.50 = 54,440.74 : x
  2. Step 2: Convert to fraction form
    99,759.84/137,671.50 = 54,440.74/x
  3. Step 3: Cross multiply
    99,759.84x = 137,671.50 × 54,440.74
  4. Step 4: Simplify right side
    99,759.84x = 7,494,938,200.81
  5. Step 5: Solve for x
    x = 7,494,938,200.81/99,759.84
  6. Step 6: Final answer
    x = 75,129.82

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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.