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Finding the Fourth Proportional to 159,090.66, 219,543.14 and 87,470.06

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Solution

The fourth proportional to 159,090.66, 219,543.14 and 87,470.06 is: 120,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,090.66 : 219,543.14 = 87,470.06 : x
  2. Step 2: Convert to fraction form
    159,090.66/219,543.14 = 87,470.06/x
  3. Step 3: Cross multiply
    159,090.66x = 219,543.14 × 87,470.06
  4. Step 4: Simplify right side
    159,090.66x = 19,203,450,749.35
  5. Step 5: Solve for x
    x = 19,203,450,749.35/159,090.66
  6. Step 6: Final answer
    x = 120,707.59

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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.