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Finding the Fourth Proportional to 136,695.90, 205,034.74 and 65,669.43

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Solution

The fourth proportional to 136,695.90, 205,034.74 and 65,669.43 is: 98,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,695.90 : 205,034.74 = 65,669.43 : x
  2. Step 2: Convert to fraction form
    136,695.90/205,034.74 = 65,669.43/x
  3. Step 3: Cross multiply
    136,695.90x = 205,034.74 × 65,669.43
  4. Step 4: Simplify right side
    136,695.90x = 13,464,514,341.82
  5. Step 5: Solve for x
    x = 13,464,514,341.82/136,695.90
  6. Step 6: Final answer
    x = 98,499.77

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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.