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Finding the Fourth Proportional to 99,875.93, 137,827.85 and 54,553.89

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Solution

The fourth proportional to 99,875.93, 137,827.85 and 54,553.89 is: 75,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,875.93 : 137,827.85 = 54,553.89 : x
  2. Step 2: Convert to fraction form
    99,875.93/137,827.85 = 54,553.89/x
  3. Step 3: Cross multiply
    99,875.93x = 137,827.85 × 54,553.89
  4. Step 4: Simplify right side
    99,875.93x = 7,519,045,095.07
  5. Step 5: Solve for x
    x = 7,519,045,095.07/99,875.93
  6. Step 6: Final answer
    x = 75,283.86

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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.