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Finding the Fourth Proportional to 78,098.14, 117,146.16 and 18,934.34

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Solution

The fourth proportional to 78,098.14, 117,146.16 and 18,934.34 is: 28,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098.14 : 117,146.16 = 18,934.34 : x
  2. Step 2: Convert to fraction form
    78,098.14/117,146.16 = 18,934.34/x
  3. Step 3: Cross multiply
    78,098.14x = 117,146.16 × 18,934.34
  4. Step 4: Simplify right side
    78,098.14x = 2,218,085,223.13
  5. Step 5: Solve for x
    x = 2,218,085,223.13/78,098.14
  6. Step 6: Final answer
    x = 28,401.26

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1.5x scale

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.