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Finding the Fourth Proportional to 144,658.95, 199,631.40 and 83,403.91

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Solution

The fourth proportional to 144,658.95, 199,631.40 and 83,403.91 is: 115,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,658.95 : 199,631.40 = 83,403.91 : x
  2. Step 2: Convert to fraction form
    144,658.95/199,631.40 = 83,403.91/x
  3. Step 3: Cross multiply
    144,658.95x = 199,631.40 × 83,403.91
  4. Step 4: Simplify right side
    144,658.95x = 16,650,039,318.77
  5. Step 5: Solve for x
    x = 16,650,039,318.77/144,658.95
  6. Step 6: Final answer
    x = 115,098.58

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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.