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Finding the Fourth Proportional to 172,235.48, 257,979.32 and 83,302.49

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Solution

The fourth proportional to 172,235.48, 257,979.32 and 83,302.49 is: 124,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,235.48 : 257,979.32 = 83,302.49 : x
  2. Step 2: Convert to fraction form
    172,235.48/257,979.32 = 83,302.49/x
  3. Step 3: Cross multiply
    172,235.48x = 257,979.32 × 83,302.49
  4. Step 4: Simplify right side
    172,235.48x = 21,490,319,059.83
  5. Step 5: Solve for x
    x = 21,490,319,059.83/172,235.48
  6. Step 6: Final answer
    x = 124,772.90

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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.