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Finding the Fourth Proportional to 86,783.52, 130,250.82 and 49,418.76

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Solution

The fourth proportional to 86,783.52, 130,250.82 and 49,418.76 is: 74,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,783.52 : 130,250.82 = 49,418.76 : x
  2. Step 2: Convert to fraction form
    86,783.52/130,250.82 = 49,418.76/x
  3. Step 3: Cross multiply
    86,783.52x = 130,250.82 × 49,418.76
  4. Step 4: Simplify right side
    86,783.52x = 6,436,834,013.38
  5. Step 5: Solve for x
    x = 6,436,834,013.38/86,783.52
  6. Step 6: Final answer
    x = 74,171.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.