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Finding the Fourth Proportional to 142,904.16, 197,212.32 and 79,247.88

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Solution

The fourth proportional to 142,904.16, 197,212.32 and 79,247.88 is: 109,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,904.16 : 197,212.32 = 79,247.88 : x
  2. Step 2: Convert to fraction form
    142,904.16/197,212.32 = 79,247.88/x
  3. Step 3: Cross multiply
    142,904.16x = 197,212.32 × 79,247.88
  4. Step 4: Simplify right side
    142,904.16x = 15,628,658,269.88
  5. Step 5: Solve for x
    x = 15,628,658,269.88/142,904.16
  6. Step 6: Final answer
    x = 109,364.61

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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.