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Finding the Fourth Proportional to 57,158.40, 85,713.54 and 21,613.74

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Solution

The fourth proportional to 57,158.40, 85,713.54 and 21,613.74 is: 32,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,158.40 : 85,713.54 = 21,613.74 : x
  2. Step 2: Convert to fraction form
    57,158.40/85,713.54 = 21,613.74/x
  3. Step 3: Cross multiply
    57,158.40x = 85,713.54 × 21,613.74
  4. Step 4: Simplify right side
    57,158.40x = 1,852,590,168.04
  5. Step 5: Solve for x
    x = 1,852,590,168.04/57,158.40
  6. Step 6: Final answer
    x = 32,411.51

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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.