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Finding the Fourth Proportional to 122,114.16, 168,422.76 and 81,815.04

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Solution

The fourth proportional to 122,114.16, 168,422.76 and 81,815.04 is: 112,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,114.16 : 168,422.76 = 81,815.04 : x
  2. Step 2: Convert to fraction form
    122,114.16/168,422.76 = 81,815.04/x
  3. Step 3: Cross multiply
    122,114.16x = 168,422.76 × 81,815.04
  4. Step 4: Simplify right side
    122,114.16x = 13,779,514,846.31
  5. Step 5: Solve for x
    x = 13,779,514,846.31/122,114.16
  6. Step 6: Final answer
    x = 112,841.25

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1.5x scale

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.