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Finding the Fourth Proportional to 173,095.76, 259,643.64 and 138,256.86

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Solution

The fourth proportional to 173,095.76, 259,643.64 and 138,256.86 is: 207,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,095.76 : 259,643.64 = 138,256.86 : x
  2. Step 2: Convert to fraction form
    173,095.76/259,643.64 = 138,256.86/x
  3. Step 3: Cross multiply
    173,095.76x = 259,643.64 × 138,256.86
  4. Step 4: Simplify right side
    173,095.76x = 35,897,514,385.37
  5. Step 5: Solve for x
    x = 35,897,514,385.37/173,095.76
  6. Step 6: Final answer
    x = 207,385.29

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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.