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Finding the Fourth Proportional to 201,695.63, 278,416.10 and 158,562.59

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Solution

The fourth proportional to 201,695.63, 278,416.10 and 158,562.59 is: 218,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,695.63 : 278,416.10 = 158,562.59 : x
  2. Step 2: Convert to fraction form
    201,695.63/278,416.10 = 158,562.59/x
  3. Step 3: Cross multiply
    201,695.63x = 278,416.10 × 158,562.59
  4. Step 4: Simplify right side
    201,695.63x = 44,146,376,918.03
  5. Step 5: Solve for x
    x = 44,146,376,918.03/201,695.63
  6. Step 6: Final answer
    x = 218,876.22

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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.