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Finding the Fourth Proportional to 206,754.31, 285,429.32 and 139,126.87

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Solution

The fourth proportional to 206,754.31, 285,429.32 and 139,126.87 is: 192,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,754.31 : 285,429.32 = 139,126.87 : x
  2. Step 2: Convert to fraction form
    206,754.31/285,429.32 = 139,126.87/x
  3. Step 3: Cross multiply
    206,754.31x = 285,429.32 × 139,126.87
  4. Step 4: Simplify right side
    206,754.31x = 39,710,887,897.83
  5. Step 5: Solve for x
    x = 39,710,887,897.83/206,754.31
  6. Step 6: Final answer
    x = 192,068.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.