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Finding the Fourth Proportional to 112,393.45, 168,098.10 and 85,821.40

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Solution

The fourth proportional to 112,393.45, 168,098.10 and 85,821.40 is: 128,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,393.45 : 168,098.10 = 85,821.40 : x
  2. Step 2: Convert to fraction form
    112,393.45/168,098.10 = 85,821.40/x
  3. Step 3: Cross multiply
    112,393.45x = 168,098.10 × 85,821.40
  4. Step 4: Simplify right side
    112,393.45x = 14,426,414,279.34
  5. Step 5: Solve for x
    x = 14,426,414,279.34/112,393.45
  6. Step 6: Final answer
    x = 128,356.36

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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.