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Finding the Fourth Proportional to 85,684.56, 128,502.16 and 29,522.40

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Solution

The fourth proportional to 85,684.56, 128,502.16 and 29,522.40 is: 44,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,684.56 : 128,502.16 = 29,522.40 : x
  2. Step 2: Convert to fraction form
    85,684.56/128,502.16 = 29,522.40/x
  3. Step 3: Cross multiply
    85,684.56x = 128,502.16 × 29,522.40
  4. Step 4: Simplify right side
    85,684.56x = 3,793,692,168.38
  5. Step 5: Solve for x
    x = 3,793,692,168.38/85,684.56
  6. Step 6: Final answer
    x = 44,275.10

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1.5x scale

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.