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Finding the Fourth Proportional to 141,146.76, 211,807.92 and 87,943.20

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Solution

The fourth proportional to 141,146.76, 211,807.92 and 87,943.20 is: 131,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,146.76 : 211,807.92 = 87,943.20 : x
  2. Step 2: Convert to fraction form
    141,146.76/211,807.92 = 87,943.20/x
  3. Step 3: Cross multiply
    141,146.76x = 211,807.92 × 87,943.20
  4. Step 4: Simplify right side
    141,146.76x = 18,627,066,270.14
  5. Step 5: Solve for x
    x = 18,627,066,270.14/141,146.76
  6. Step 6: Final answer
    x = 131,969.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.