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Finding the Fourth Proportional to 201,505.72, 278,077.90 and 110,859.74

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Solution

The fourth proportional to 201,505.72, 278,077.90 and 110,859.74 is: 152,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,505.72 : 278,077.90 = 110,859.74 : x
  2. Step 2: Convert to fraction form
    201,505.72/278,077.90 = 110,859.74/x
  3. Step 3: Cross multiply
    201,505.72x = 278,077.90 × 110,859.74
  4. Step 4: Simplify right side
    201,505.72x = 30,827,643,693.75
  5. Step 5: Solve for x
    x = 30,827,643,693.75/201,505.72
  6. Step 6: Final answer
    x = 152,986.45

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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.