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Finding the Fourth Proportional to 142,866.68, 197,164.62 and 79,207.16

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Solution

The fourth proportional to 142,866.68, 197,164.62 and 79,207.16 is: 109,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,866.68 : 197,164.62 = 79,207.16 : x
  2. Step 2: Convert to fraction form
    142,866.68/197,164.62 = 79,207.16/x
  3. Step 3: Cross multiply
    142,866.68x = 197,164.62 × 79,207.16
  4. Step 4: Simplify right side
    142,866.68x = 15,616,849,602.68
  5. Step 5: Solve for x
    x = 15,616,849,602.68/142,866.68
  6. Step 6: Final answer
    x = 109,310.65

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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.