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Finding the Fourth Proportional to 342,442.60, 513,718.62 and 105,729.64

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Solution

The fourth proportional to 342,442.60, 513,718.62 and 105,729.64 is: 158,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,442.60 : 513,718.62 = 105,729.64 : x
  2. Step 2: Convert to fraction form
    342,442.60/513,718.62 = 105,729.64/x
  3. Step 3: Cross multiply
    342,442.60x = 513,718.62 × 105,729.64
  4. Step 4: Simplify right side
    342,442.60x = 54,315,284,753.90
  5. Step 5: Solve for x
    x = 54,315,284,753.90/342,442.60
  6. Step 6: Final answer
    x = 158,611.35

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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.