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Finding the Fourth Proportional to 201,897, 278,617.86 and 117,063.27

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Solution

The fourth proportional to 201,897, 278,617.86 and 117,063.27 is: 161,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897 : 278,617.86 = 117,063.27 : x
  2. Step 2: Convert to fraction form
    201,897/278,617.86 = 117,063.27/x
  3. Step 3: Cross multiply
    201,897x = 278,617.86 × 117,063.27
  4. Step 4: Simplify right side
    201,897x = 32,615,917,772.00
  5. Step 5: Solve for x
    x = 32,615,917,772.00/201,897
  6. Step 6: Final answer
    x = 161,547.31

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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.