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Finding the Fourth Proportional to 157,897.94, 217,900.68 and 86,277.96

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Solution

The fourth proportional to 157,897.94, 217,900.68 and 86,277.96 is: 119,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,897.94 : 217,900.68 = 86,277.96 : x
  2. Step 2: Convert to fraction form
    157,897.94/217,900.68 = 86,277.96/x
  3. Step 3: Cross multiply
    157,897.94x = 217,900.68 × 86,277.96
  4. Step 4: Simplify right side
    157,897.94x = 18,800,026,153.01
  5. Step 5: Solve for x
    x = 18,800,026,153.01/157,897.94
  6. Step 6: Final answer
    x = 119,064.42

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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.