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Finding the Fourth Proportional to 74,211.84, 102,413.76 and 40,676.16

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Solution

The fourth proportional to 74,211.84, 102,413.76 and 40,676.16 is: 56,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,211.84 : 102,413.76 = 40,676.16 : x
  2. Step 2: Convert to fraction form
    74,211.84/102,413.76 = 40,676.16/x
  3. Step 3: Cross multiply
    74,211.84x = 102,413.76 × 40,676.16
  4. Step 4: Simplify right side
    74,211.84x = 4,165,798,487.96
  5. Step 5: Solve for x
    x = 4,165,798,487.96/74,211.84
  6. Step 6: Final answer
    x = 56,133.88

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1.5x scale

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.