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Finding the Fourth Proportional to 80,470.61, 120,710.53 and 21,304.74

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Solution

The fourth proportional to 80,470.61, 120,710.53 and 21,304.74 is: 31,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,470.61 : 120,710.53 = 21,304.74 : x
  2. Step 2: Convert to fraction form
    80,470.61/120,710.53 = 21,304.74/x
  3. Step 3: Cross multiply
    80,470.61x = 120,710.53 × 21,304.74
  4. Step 4: Simplify right side
    80,470.61x = 2,571,706,384.51
  5. Step 5: Solve for x
    x = 2,571,706,384.51/80,470.61
  6. Step 6: Final answer
    x = 31,958.33

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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.