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Finding the Fourth Proportional to 99,722.52, 149,685.21 and 49,838.40

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Solution

The fourth proportional to 99,722.52, 149,685.21 and 49,838.40 is: 74,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,722.52 : 149,685.21 = 49,838.40 : x
  2. Step 2: Convert to fraction form
    99,722.52/149,685.21 = 49,838.40/x
  3. Step 3: Cross multiply
    99,722.52x = 149,685.21 × 49,838.40
  4. Step 4: Simplify right side
    99,722.52x = 7,460,071,370.06
  5. Step 5: Solve for x
    x = 7,460,071,370.06/99,722.52
  6. Step 6: Final answer
    x = 74,808.29

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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.