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Finding the Fourth Proportional to 57,439, 86,158.50 and 15,886

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Solution

The fourth proportional to 57,439, 86,158.50 and 15,886 is: 23,829

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,439 : 86,158.50 = 15,886 : x
  2. Step 2: Convert to fraction form
    57,439/86,158.50 = 15,886/x
  3. Step 3: Cross multiply
    57,439x = 86,158.50 × 15,886
  4. Step 4: Simplify right side
    57,439x = 1,368,713,931
  5. Step 5: Solve for x
    x = 1,368,713,931/57,439
  6. Step 6: Final answer
    x = 23,829

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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.