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Finding the Fourth Proportional to 342,534.18, 513,850.47 and 105,895.32

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Solution

The fourth proportional to 342,534.18, 513,850.47 and 105,895.32 is: 158,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,534.18 : 513,850.47 = 105,895.32 : x
  2. Step 2: Convert to fraction form
    342,534.18/513,850.47 = 105,895.32/x
  3. Step 3: Cross multiply
    342,534.18x = 513,850.47 × 105,895.32
  4. Step 4: Simplify right side
    342,534.18x = 54,414,359,952.80
  5. Step 5: Solve for x
    x = 54,414,359,952.80/342,534.18
  6. Step 6: Final answer
    x = 158,858.19

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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.