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Finding the Fourth Proportional to 342,686.48, 514,078.86 and 106,047.68

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Solution

The fourth proportional to 342,686.48, 514,078.86 and 106,047.68 is: 159,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,686.48 : 514,078.86 = 106,047.68 : x
  2. Step 2: Convert to fraction form
    342,686.48/514,078.86 = 106,047.68/x
  3. Step 3: Cross multiply
    342,686.48x = 514,078.86 × 106,047.68
  4. Step 4: Simplify right side
    342,686.48x = 54,516,870,440.04
  5. Step 5: Solve for x
    x = 54,516,870,440.04/342,686.48
  6. Step 6: Final answer
    x = 159,086.73

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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.