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Finding the Fourth Proportional to 57,430.87, 86,147.93 and 15,877.87

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Solution

The fourth proportional to 57,430.87, 86,147.93 and 15,877.87 is: 23,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,430.87 : 86,147.93 = 15,877.87 : x
  2. Step 2: Convert to fraction form
    57,430.87/86,147.93 = 15,877.87/x
  3. Step 3: Cross multiply
    57,430.87x = 86,147.93 × 15,877.87
  4. Step 4: Simplify right side
    57,430.87x = 1,367,845,633.31
  5. Step 5: Solve for x
    x = 1,367,845,633.31/57,430.87
  6. Step 6: Final answer
    x = 23,817.25

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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.