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Finding the Fourth Proportional to 86,838.84, 119,841.12 and 49,113

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Solution

The fourth proportional to 86,838.84, 119,841.12 and 49,113 is: 67,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,838.84 : 119,841.12 = 49,113 : x
  2. Step 2: Convert to fraction form
    86,838.84/119,841.12 = 49,113/x
  3. Step 3: Cross multiply
    86,838.84x = 119,841.12 × 49,113
  4. Step 4: Simplify right side
    86,838.84x = 5,885,756,926.56
  5. Step 5: Solve for x
    x = 5,885,756,926.56/86,838.84
  6. Step 6: Final answer
    x = 67,777.93

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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.