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Finding the Fourth Proportional to 131,649.84, 181,678.14 and 75,064.86

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Solution

The fourth proportional to 131,649.84, 181,678.14 and 75,064.86 is: 103,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,649.84 : 181,678.14 = 75,064.86 : x
  2. Step 2: Convert to fraction form
    131,649.84/181,678.14 = 75,064.86/x
  3. Step 3: Cross multiply
    131,649.84x = 181,678.14 × 75,064.86
  4. Step 4: Simplify right side
    131,649.84x = 13,637,644,144.16
  5. Step 5: Solve for x
    x = 13,637,644,144.16/131,649.84
  6. Step 6: Final answer
    x = 103,590.28

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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.