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Finding the Fourth Proportional to 79,681, 109,959.78 and 44,353

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Solution

The fourth proportional to 79,681, 109,959.78 and 44,353 is: 61,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,681 : 109,959.78 = 44,353 : x
  2. Step 2: Convert to fraction form
    79,681/109,959.78 = 44,353/x
  3. Step 3: Cross multiply
    79,681x = 109,959.78 × 44,353
  4. Step 4: Simplify right side
    79,681x = 4,877,046,122.34
  5. Step 5: Solve for x
    x = 4,877,046,122.34/79,681
  6. Step 6: Final answer
    x = 61,207.14

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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.