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Finding the Fourth Proportional to 80,502.51, 111,054.87 and 56,642.34

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Solution

The fourth proportional to 80,502.51, 111,054.87 and 56,642.34 is: 78,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,502.51 : 111,054.87 = 56,642.34 : x
  2. Step 2: Convert to fraction form
    80,502.51/111,054.87 = 56,642.34/x
  3. Step 3: Cross multiply
    80,502.51x = 111,054.87 × 56,642.34
  4. Step 4: Simplify right side
    80,502.51x = 6,290,407,705.20
  5. Step 5: Solve for x
    x = 6,290,407,705.20/80,502.51
  6. Step 6: Final answer
    x = 78,139.27

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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.