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Finding the Fourth Proportional to 57,438, 86,152.02 and 19,988.40

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Solution

The fourth proportional to 57,438, 86,152.02 and 19,988.40 is: 29,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,438 : 86,152.02 = 19,988.40 : x
  2. Step 2: Convert to fraction form
    57,438/86,152.02 = 19,988.40/x
  3. Step 3: Cross multiply
    57,438x = 86,152.02 × 19,988.40
  4. Step 4: Simplify right side
    57,438x = 1,722,041,036.57
  5. Step 5: Solve for x
    x = 1,722,041,036.57/57,438
  6. Step 6: Final answer
    x = 29,980.87

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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.