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Finding the Fourth Proportional to 118,286.79, 163,413.84 and 77,547.71

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Solution

The fourth proportional to 118,286.79, 163,413.84 and 77,547.71 is: 107,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,286.79 : 163,413.84 = 77,547.71 : x
  2. Step 2: Convert to fraction form
    118,286.79/163,413.84 = 77,547.71/x
  3. Step 3: Cross multiply
    118,286.79x = 163,413.84 × 77,547.71
  4. Step 4: Simplify right side
    118,286.79x = 12,672,368,257.24
  5. Step 5: Solve for x
    x = 12,672,368,257.24/118,286.79
  6. Step 6: Final answer
    x = 107,132.57

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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.