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Finding the Fourth Proportional to 86,219.76, 129,174.12 and 49,206

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Solution

The fourth proportional to 86,219.76, 129,174.12 and 49,206 is: 73,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,219.76 : 129,174.12 = 49,206 : x
  2. Step 2: Convert to fraction form
    86,219.76/129,174.12 = 49,206/x
  3. Step 3: Cross multiply
    86,219.76x = 129,174.12 × 49,206
  4. Step 4: Simplify right side
    86,219.76x = 6,356,141,748.72
  5. Step 5: Solve for x
    x = 6,356,141,748.72/86,219.76
  6. Step 6: Final answer
    x = 73,720.24

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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.