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Finding the Fourth Proportional to 257,071.73, 385,686.36 and 115,036.54

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Solution

The fourth proportional to 257,071.73, 385,686.36 and 115,036.54 is: 172,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,071.73 : 385,686.36 = 115,036.54 : x
  2. Step 2: Convert to fraction form
    257,071.73/385,686.36 = 115,036.54/x
  3. Step 3: Cross multiply
    257,071.73x = 385,686.36 × 115,036.54
  4. Step 4: Simplify right side
    257,071.73x = 44,368,023,415.38
  5. Step 5: Solve for x
    x = 44,368,023,415.38/257,071.73
  6. Step 6: Final answer
    x = 172,590.06

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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.