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Finding the Fourth Proportional to 142,626.62, 196,811.10 and 85,254.55

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Solution

The fourth proportional to 142,626.62, 196,811.10 and 85,254.55 is: 117,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,626.62 : 196,811.10 = 85,254.55 : x
  2. Step 2: Convert to fraction form
    142,626.62/196,811.10 = 85,254.55/x
  3. Step 3: Cross multiply
    142,626.62x = 196,811.10 × 85,254.55
  4. Step 4: Simplify right side
    142,626.62x = 16,779,040,781.45
  5. Step 5: Solve for x
    x = 16,779,040,781.45/142,626.62
  6. Step 6: Final answer
    x = 117,643.13

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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.