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Finding the Fourth Proportional to 99,669.84, 137,543.88 and 54,957.84

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Solution

The fourth proportional to 99,669.84, 137,543.88 and 54,957.84 is: 75,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,669.84 : 137,543.88 = 54,957.84 : x
  2. Step 2: Convert to fraction form
    99,669.84/137,543.88 = 54,957.84/x
  3. Step 3: Cross multiply
    99,669.84x = 137,543.88 × 54,957.84
  4. Step 4: Simplify right side
    99,669.84x = 7,559,114,550.02
  5. Step 5: Solve for x
    x = 7,559,114,550.02/99,669.84
  6. Step 6: Final answer
    x = 75,841.54

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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.