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Finding the Fourth Proportional to 201,505.47, 278,077.56 and 110,859.49

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Solution

The fourth proportional to 201,505.47, 278,077.56 and 110,859.49 is: 152,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,505.47 : 278,077.56 = 110,859.49 : x
  2. Step 2: Convert to fraction form
    201,505.47/278,077.56 = 110,859.49/x
  3. Step 3: Cross multiply
    201,505.47x = 278,077.56 × 110,859.49
  4. Step 4: Simplify right side
    201,505.47x = 30,827,535,927.75
  5. Step 5: Solve for x
    x = 30,827,535,927.75/201,505.47
  6. Step 6: Final answer
    x = 152,986.10

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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.