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Finding the Fourth Proportional to 99,725.48, 137,671.95 and 77,013.48

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Solution

The fourth proportional to 99,725.48, 137,671.95 and 77,013.48 is: 106,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,725.48 : 137,671.95 = 77,013.48 : x
  2. Step 2: Convert to fraction form
    99,725.48/137,671.95 = 77,013.48/x
  3. Step 3: Cross multiply
    99,725.48x = 137,671.95 × 77,013.48
  4. Step 4: Simplify right side
    99,725.48x = 10,602,596,772.96
  5. Step 5: Solve for x
    x = 10,602,596,772.96/99,725.48
  6. Step 6: Final answer
    x = 106,317.83

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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.