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Finding the Fourth Proportional to 142,018.40, 195,986.04 and 78,358.08

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Solution

The fourth proportional to 142,018.40, 195,986.04 and 78,358.08 is: 108,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,018.40 : 195,986.04 = 78,358.08 : x
  2. Step 2: Convert to fraction form
    142,018.40/195,986.04 = 78,358.08/x
  3. Step 3: Cross multiply
    142,018.40x = 195,986.04 × 78,358.08
  4. Step 4: Simplify right side
    142,018.40x = 15,357,089,801.20
  5. Step 5: Solve for x
    x = 15,357,089,801.20/142,018.40
  6. Step 6: Final answer
    x = 108,134.51

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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.