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Finding the Fourth Proportional to 78,988.84, 118,479.61 and 19,823.20

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Solution

The fourth proportional to 78,988.84, 118,479.61 and 19,823.20 is: 29,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,988.84 : 118,479.61 = 19,823.20 : x
  2. Step 2: Convert to fraction form
    78,988.84/118,479.61 = 19,823.20/x
  3. Step 3: Cross multiply
    78,988.84x = 118,479.61 × 19,823.20
  4. Step 4: Simplify right side
    78,988.84x = 2,348,644,733.53
  5. Step 5: Solve for x
    x = 2,348,644,733.53/78,988.84
  6. Step 6: Final answer
    x = 29,733.88

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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.