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Finding the Fourth Proportional to 102,444.92, 153,725.72 and 81,799.64

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Solution

The fourth proportional to 102,444.92, 153,725.72 and 81,799.64 is: 122,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,444.92 : 153,725.72 = 81,799.64 : x
  2. Step 2: Convert to fraction form
    102,444.92/153,725.72 = 81,799.64/x
  3. Step 3: Cross multiply
    102,444.92x = 153,725.72 × 81,799.64
  4. Step 4: Simplify right side
    102,444.92x = 12,574,708,554.74
  5. Step 5: Solve for x
    x = 12,574,708,554.74/102,444.92
  6. Step 6: Final answer
    x = 122,746.04

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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.