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Finding the Fourth Proportional to 149,443.47, 206,230.74 and 81,459.20

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Solution

The fourth proportional to 149,443.47, 206,230.74 and 81,459.20 is: 112,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,443.47 : 206,230.74 = 81,459.20 : x
  2. Step 2: Convert to fraction form
    149,443.47/206,230.74 = 81,459.20/x
  3. Step 3: Cross multiply
    149,443.47x = 206,230.74 × 81,459.20
  4. Step 4: Simplify right side
    149,443.47x = 16,799,391,095.81
  5. Step 5: Solve for x
    x = 16,799,391,095.81/149,443.47
  6. Step 6: Final answer
    x = 112,413.02

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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.