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Finding the Fourth Proportional to 106,728.79, 147,281.76 and 61,413.78

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Solution

The fourth proportional to 106,728.79, 147,281.76 and 61,413.78 is: 84,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,728.79 : 147,281.76 = 61,413.78 : x
  2. Step 2: Convert to fraction form
    106,728.79/147,281.76 = 61,413.78/x
  3. Step 3: Cross multiply
    106,728.79x = 147,281.76 × 61,413.78
  4. Step 4: Simplify right side
    106,728.79x = 9,045,129,606.65
  5. Step 5: Solve for x
    x = 9,045,129,606.65/106,728.79
  6. Step 6: Final answer
    x = 84,748.73

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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.