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Finding the Fourth Proportional to 78,197.27, 117,271.13 and 28,270.76

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Solution

The fourth proportional to 78,197.27, 117,271.13 and 28,270.76 is: 42,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.27 : 117,271.13 = 28,270.76 : x
  2. Step 2: Convert to fraction form
    78,197.27/117,271.13 = 28,270.76/x
  3. Step 3: Cross multiply
    78,197.27x = 117,271.13 × 28,270.76
  4. Step 4: Simplify right side
    78,197.27x = 3,315,343,243.45
  5. Step 5: Solve for x
    x = 3,315,343,243.45/78,197.27
  6. Step 6: Final answer
    x = 42,397.18

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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.