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Finding the Fourth Proportional to 75,288.16, 112,045.16 and 72,488.80

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Solution

The fourth proportional to 75,288.16, 112,045.16 and 72,488.80 is: 107,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,288.16 : 112,045.16 = 72,488.80 : x
  2. Step 2: Convert to fraction form
    75,288.16/112,045.16 = 72,488.80/x
  3. Step 3: Cross multiply
    75,288.16x = 112,045.16 × 72,488.80
  4. Step 4: Simplify right side
    75,288.16x = 8,122,019,194.21
  5. Step 5: Solve for x
    x = 8,122,019,194.21/75,288.16
  6. Step 6: Final answer
    x = 107,879.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.