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Finding the Fourth Proportional to 129,486.72, 178,684.20 and 83,464.68

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Solution

The fourth proportional to 129,486.72, 178,684.20 and 83,464.68 is: 115,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,486.72 : 178,684.20 = 83,464.68 : x
  2. Step 2: Convert to fraction form
    129,486.72/178,684.20 = 83,464.68/x
  3. Step 3: Cross multiply
    129,486.72x = 178,684.20 × 83,464.68
  4. Step 4: Simplify right side
    129,486.72x = 14,913,819,574.06
  5. Step 5: Solve for x
    x = 14,913,819,574.06/129,486.72
  6. Step 6: Final answer
    x = 115,176.44

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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.