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Finding the Fourth Proportional to 98,381.82, 146,805.40 and 87,778.95

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Solution

The fourth proportional to 98,381.82, 146,805.40 and 87,778.95 is: 130,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,381.82 : 146,805.40 = 87,778.95 : x
  2. Step 2: Convert to fraction form
    98,381.82/146,805.40 = 87,778.95/x
  3. Step 3: Cross multiply
    98,381.82x = 146,805.40 × 87,778.95
  4. Step 4: Simplify right side
    98,381.82x = 12,886,423,866.33
  5. Step 5: Solve for x
    x = 12,886,423,866.33/98,381.82
  6. Step 6: Final answer
    x = 130,983.79

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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.