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Finding the Fourth Proportional to 131,232, 181,102.08 and 71,616

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Solution

The fourth proportional to 131,232, 181,102.08 and 71,616 is: 98,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,232 : 181,102.08 = 71,616 : x
  2. Step 2: Convert to fraction form
    131,232/181,102.08 = 71,616/x
  3. Step 3: Cross multiply
    131,232x = 181,102.08 × 71,616
  4. Step 4: Simplify right side
    131,232x = 12,969,806,561.28
  5. Step 5: Solve for x
    x = 12,969,806,561.28/131,232
  6. Step 6: Final answer
    x = 98,831.13

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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.