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Finding the Fourth Proportional to 61,987.84, 92,960 and 20,423.68

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Solution

The fourth proportional to 61,987.84, 92,960 and 20,423.68 is: 30,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,987.84 : 92,960 = 20,423.68 : x
  2. Step 2: Convert to fraction form
    61,987.84/92,960 = 20,423.68/x
  3. Step 3: Cross multiply
    61,987.84x = 92,960 × 20,423.68
  4. Step 4: Simplify right side
    61,987.84x = 1,898,585,292.80
  5. Step 5: Solve for x
    x = 1,898,585,292.80/61,987.84
  6. Step 6: Final answer
    x = 30,628.35

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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.