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Finding the Fourth Proportional to 221,306.84, 305,402 and 125,813.56

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Solution

The fourth proportional to 221,306.84, 305,402 and 125,813.56 is: 173,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,306.84 : 305,402 = 125,813.56 : x
  2. Step 2: Convert to fraction form
    221,306.84/305,402 = 125,813.56/x
  3. Step 3: Cross multiply
    221,306.84x = 305,402 × 125,813.56
  4. Step 4: Simplify right side
    221,306.84x = 38,423,712,851.12
  5. Step 5: Solve for x
    x = 38,423,712,851.12/221,306.84
  6. Step 6: Final answer
    x = 173,621.89

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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.