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Finding the Fourth Proportional to 323,726.72, 485,590.08 and 102,128

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Solution

The fourth proportional to 323,726.72, 485,590.08 and 102,128 is: 153,192

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,726.72 : 485,590.08 = 102,128 : x
  2. Step 2: Convert to fraction form
    323,726.72/485,590.08 = 102,128/x
  3. Step 3: Cross multiply
    323,726.72x = 485,590.08 × 102,128
  4. Step 4: Simplify right side
    323,726.72x = 49,592,343,690.24
  5. Step 5: Solve for x
    x = 49,592,343,690.24/323,726.72
  6. Step 6: Final answer
    x = 153,192

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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.