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Finding the Fourth Proportional to 221,881.52, 306,448.98 and 149,158.10

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Solution

The fourth proportional to 221,881.52, 306,448.98 and 149,158.10 is: 206,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,881.52 : 306,448.98 = 149,158.10 : x
  2. Step 2: Convert to fraction form
    221,881.52/306,448.98 = 149,158.10/x
  3. Step 3: Cross multiply
    221,881.52x = 306,448.98 × 149,158.10
  4. Step 4: Simplify right side
    221,881.52x = 45,709,347,603.74
  5. Step 5: Solve for x
    x = 45,709,347,603.74/221,881.52
  6. Step 6: Final answer
    x = 206,007.91

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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.