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Finding the Fourth Proportional to 342,643.07, 514,081.35 and 102,762.78

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Solution

The fourth proportional to 342,643.07, 514,081.35 and 102,762.78 is: 154,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,643.07 : 514,081.35 = 102,762.78 : x
  2. Step 2: Convert to fraction form
    342,643.07/514,081.35 = 102,762.78/x
  3. Step 3: Cross multiply
    342,643.07x = 514,081.35 × 102,762.78
  4. Step 4: Simplify right side
    342,643.07x = 52,828,428,672.15
  5. Step 5: Solve for x
    x = 52,828,428,672.15/342,643.07
  6. Step 6: Final answer
    x = 154,179.19

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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.