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Finding the Fourth Proportional to 57,894.92, 86,840.76 and 18,454.40

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Solution

The fourth proportional to 57,894.92, 86,840.76 and 18,454.40 is: 27,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,894.92 : 86,840.76 = 18,454.40 : x
  2. Step 2: Convert to fraction form
    57,894.92/86,840.76 = 18,454.40/x
  3. Step 3: Cross multiply
    57,894.92x = 86,840.76 × 18,454.40
  4. Step 4: Simplify right side
    57,894.92x = 1,602,594,121.34
  5. Step 5: Solve for x
    x = 1,602,594,121.34/57,894.92
  6. Step 6: Final answer
    x = 27,681.08

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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.