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Finding the Fourth Proportional to 142,698.64, 213,862.02 and 79,516.21

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Solution

The fourth proportional to 142,698.64, 213,862.02 and 79,516.21 is: 119,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,698.64 : 213,862.02 = 79,516.21 : x
  2. Step 2: Convert to fraction form
    142,698.64/213,862.02 = 79,516.21/x
  3. Step 3: Cross multiply
    142,698.64x = 213,862.02 × 79,516.21
  4. Step 4: Simplify right side
    142,698.64x = 17,005,496,707.29
  5. Step 5: Solve for x
    x = 17,005,496,707.29/142,698.64
  6. Step 6: Final answer
    x = 119,170.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.