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Finding the Fourth Proportional to 118,098, 163,266.84 and 113,140.80

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Solution

The fourth proportional to 118,098, 163,266.84 and 113,140.80 is: 156,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098 : 163,266.84 = 113,140.80 : x
  2. Step 2: Convert to fraction form
    118,098/163,266.84 = 113,140.80/x
  3. Step 3: Cross multiply
    118,098x = 163,266.84 × 113,140.80
  4. Step 4: Simplify right side
    118,098x = 18,472,140,891.07
  5. Step 5: Solve for x
    x = 18,472,140,891.07/118,098
  6. Step 6: Final answer
    x = 156,413.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.