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Finding the Fourth Proportional to 201,761, 278,430.18 and 112,358.12

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Solution

The fourth proportional to 201,761, 278,430.18 and 112,358.12 is: 155,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761 : 278,430.18 = 112,358.12 : x
  2. Step 2: Convert to fraction form
    201,761/278,430.18 = 112,358.12/x
  3. Step 3: Cross multiply
    201,761x = 278,430.18 × 112,358.12
  4. Step 4: Simplify right side
    201,761x = 31,283,891,576.06
  5. Step 5: Solve for x
    x = 31,283,891,576.06/201,761
  6. Step 6: Final answer
    x = 155,054.21

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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.