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Finding the Fourth Proportional to 201,749.84, 278,415.60 and 115,712.13

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Solution

The fourth proportional to 201,749.84, 278,415.60 and 115,712.13 is: 159,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,749.84 : 278,415.60 = 115,712.13 : x
  2. Step 2: Convert to fraction form
    201,749.84/278,415.60 = 115,712.13/x
  3. Step 3: Cross multiply
    201,749.84x = 278,415.60 × 115,712.13
  4. Step 4: Simplify right side
    201,749.84x = 32,216,062,101.23
  5. Step 5: Solve for x
    x = 32,216,062,101.23/201,749.84
  6. Step 6: Final answer
    x = 159,683.21

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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.