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Finding the Fourth Proportional to 120,154.64, 165,808.16 and 65,705.84

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Solution

The fourth proportional to 120,154.64, 165,808.16 and 65,705.84 is: 90,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,154.64 : 165,808.16 = 65,705.84 : x
  2. Step 2: Convert to fraction form
    120,154.64/165,808.16 = 65,705.84/x
  3. Step 3: Cross multiply
    120,154.64x = 165,808.16 × 65,705.84
  4. Step 4: Simplify right side
    120,154.64x = 10,894,564,431.65
  5. Step 5: Solve for x
    x = 10,894,564,431.65/120,154.64
  6. Step 6: Final answer
    x = 90,671.19

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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.