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Finding the Fourth Proportional to 131,844, 181,943.76 and 71,413.20

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Solution

The fourth proportional to 131,844, 181,943.76 and 71,413.20 is: 98,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,844 : 181,943.76 = 71,413.20 : x
  2. Step 2: Convert to fraction form
    131,844/181,943.76 = 71,413.20/x
  3. Step 3: Cross multiply
    131,844x = 181,943.76 × 71,413.20
  4. Step 4: Simplify right side
    131,844x = 12,993,186,121.63
  5. Step 5: Solve for x
    x = 12,993,186,121.63/131,844
  6. Step 6: Final answer
    x = 98,549.70

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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.