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Finding the Fourth Proportional to 221,281.48, 305,315.95 and 125,780.66

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Solution

The fourth proportional to 221,281.48, 305,315.95 and 125,780.66 is: 173,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,281.48 : 305,315.95 = 125,780.66 : x
  2. Step 2: Convert to fraction form
    221,281.48/305,315.95 = 125,780.66/x
  3. Step 3: Cross multiply
    221,281.48x = 305,315.95 × 125,780.66
  4. Step 4: Simplify right side
    221,281.48x = 38,402,839,544.04
  5. Step 5: Solve for x
    x = 38,402,839,544.04/221,281.48
  6. Step 6: Final answer
    x = 173,547.47

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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.