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Finding the Fourth Proportional to 172,041.96, 257,960.76 and 65,433.72

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Solution

The fourth proportional to 172,041.96, 257,960.76 and 65,433.72 is: 98,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,041.96 : 257,960.76 = 65,433.72 : x
  2. Step 2: Convert to fraction form
    172,041.96/257,960.76 = 65,433.72/x
  3. Step 3: Cross multiply
    172,041.96x = 257,960.76 × 65,433.72
  4. Step 4: Simplify right side
    172,041.96x = 16,879,332,140.83
  5. Step 5: Solve for x
    x = 16,879,332,140.83/172,041.96
  6. Step 6: Final answer
    x = 98,111.72

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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.