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Finding the Fourth Proportional to 134,642.84, 185,796.19 and 78,057.86

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Solution

The fourth proportional to 134,642.84, 185,796.19 and 78,057.86 is: 107,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,642.84 : 185,796.19 = 78,057.86 : x
  2. Step 2: Convert to fraction form
    134,642.84/185,796.19 = 78,057.86/x
  3. Step 3: Cross multiply
    134,642.84x = 185,796.19 × 78,057.86
  4. Step 4: Simplify right side
    134,642.84x = 14,502,852,987.55
  5. Step 5: Solve for x
    x = 14,502,852,987.55/134,642.84
  6. Step 6: Final answer
    x = 107,713.51

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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.