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Finding the Fourth Proportional to 172,001.80, 257,565.30 and 164,128.60

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Solution

The fourth proportional to 172,001.80, 257,565.30 and 164,128.60 is: 245,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,001.80 : 257,565.30 = 164,128.60 : x
  2. Step 2: Convert to fraction form
    172,001.80/257,565.30 = 164,128.60/x
  3. Step 3: Cross multiply
    172,001.80x = 257,565.30 × 164,128.60
  4. Step 4: Simplify right side
    172,001.80x = 42,273,832,097.58
  5. Step 5: Solve for x
    x = 42,273,832,097.58/172,001.80
  6. Step 6: Final answer
    x = 245,775.52

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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.