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Finding the Fourth Proportional to 86,960.40, 120,006 and 49,233.84

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Solution

The fourth proportional to 86,960.40, 120,006 and 49,233.84 is: 67,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,960.40 : 120,006 = 49,233.84 : x
  2. Step 2: Convert to fraction form
    86,960.40/120,006 = 49,233.84/x
  3. Step 3: Cross multiply
    86,960.40x = 120,006 × 49,233.84
  4. Step 4: Simplify right side
    86,960.40x = 5,908,356,203.04
  5. Step 5: Solve for x
    x = 5,908,356,203.04/86,960.40
  6. Step 6: Final answer
    x = 67,943.07

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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.