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Finding the Fourth Proportional to 130,978.13, 180,749.81 and 71,362.13

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Solution

The fourth proportional to 130,978.13, 180,749.81 and 71,362.13 is: 98,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978.13 : 180,749.81 = 71,362.13 : x
  2. Step 2: Convert to fraction form
    130,978.13/180,749.81 = 71,362.13/x
  3. Step 3: Cross multiply
    130,978.13x = 180,749.81 × 71,362.13
  4. Step 4: Simplify right side
    130,978.13x = 12,898,690,713.35
  5. Step 5: Solve for x
    x = 12,898,690,713.35/130,978.13
  6. Step 6: Final answer
    x = 98,479.73

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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.