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Finding the Fourth Proportional to 117,691.76, 162,413.02 and 63,975.40

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Solution

The fourth proportional to 117,691.76, 162,413.02 and 63,975.40 is: 88,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,691.76 : 162,413.02 = 63,975.40 : x
  2. Step 2: Convert to fraction form
    117,691.76/162,413.02 = 63,975.40/x
  3. Step 3: Cross multiply
    117,691.76x = 162,413.02 × 63,975.40
  4. Step 4: Simplify right side
    117,691.76x = 10,390,437,919.71
  5. Step 5: Solve for x
    x = 10,390,437,919.71/117,691.76
  6. Step 6: Final answer
    x = 88,285.18

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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.