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Finding the Fourth Proportional to 342,605.75, 513,984.15 and 102,710.07

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Solution

The fourth proportional to 342,605.75, 513,984.15 and 102,710.07 is: 154,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,605.75 : 513,984.15 = 102,710.07 : x
  2. Step 2: Convert to fraction form
    342,605.75/513,984.15 = 102,710.07/x
  3. Step 3: Cross multiply
    342,605.75x = 513,984.15 × 102,710.07
  4. Step 4: Simplify right side
    342,605.75x = 52,791,348,025.39
  5. Step 5: Solve for x
    x = 52,791,348,025.39/342,605.75
  6. Step 6: Final answer
    x = 154,087.75

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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.