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Finding the Fourth Proportional to 92,615.40, 138,728.70 and 51,013.80

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Solution

The fourth proportional to 92,615.40, 138,728.70 and 51,013.80 is: 76,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,615.40 : 138,728.70 = 51,013.80 : x
  2. Step 2: Convert to fraction form
    92,615.40/138,728.70 = 51,013.80/x
  3. Step 3: Cross multiply
    92,615.40x = 138,728.70 × 51,013.80
  4. Step 4: Simplify right side
    92,615.40x = 7,077,078,156.06
  5. Step 5: Solve for x
    x = 7,077,078,156.06/92,615.40
  6. Step 6: Final answer
    x = 76,413.62

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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.