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Finding the Fourth Proportional to 142,704, 196,931.52 and 79,045.90

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Solution

The fourth proportional to 142,704, 196,931.52 and 79,045.90 is: 109,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,704 : 196,931.52 = 79,045.90 : x
  2. Step 2: Convert to fraction form
    142,704/196,931.52 = 79,045.90/x
  3. Step 3: Cross multiply
    142,704x = 196,931.52 × 79,045.90
  4. Step 4: Simplify right side
    142,704x = 15,566,628,744.44
  5. Step 5: Solve for x
    x = 15,566,628,744.44/142,704
  6. Step 6: Final answer
    x = 109,083.34

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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.