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Finding the Fourth Proportional to 171,037.60, 256,702.20 and 76,413.40

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Solution

The fourth proportional to 171,037.60, 256,702.20 and 76,413.40 is: 114,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,037.60 : 256,702.20 = 76,413.40 : x
  2. Step 2: Convert to fraction form
    171,037.60/256,702.20 = 76,413.40/x
  3. Step 3: Cross multiply
    171,037.60x = 256,702.20 × 76,413.40
  4. Step 4: Simplify right side
    171,037.60x = 19,615,487,889.48
  5. Step 5: Solve for x
    x = 19,615,487,889.48/171,037.60
  6. Step 6: Final answer
    x = 114,685.24

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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.