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Finding the Fourth Proportional to 131,853, 181,980.54 and 127,478.28

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Solution

The fourth proportional to 131,853, 181,980.54 and 127,478.28 is: 175,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,853 : 181,980.54 = 127,478.28 : x
  2. Step 2: Convert to fraction form
    131,853/181,980.54 = 127,478.28/x
  3. Step 3: Cross multiply
    131,853x = 181,980.54 × 127,478.28
  4. Step 4: Simplify right side
    131,853x = 23,198,566,232.67
  5. Step 5: Solve for x
    x = 23,198,566,232.67/131,853
  6. Step 6: Final answer
    x = 175,942.65

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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.