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Finding the Fourth Proportional to 141,661.76, 212,414 and 65,677.28

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Solution

The fourth proportional to 141,661.76, 212,414 and 65,677.28 is: 98,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,661.76 : 212,414 = 65,677.28 : x
  2. Step 2: Convert to fraction form
    141,661.76/212,414 = 65,677.28/x
  3. Step 3: Cross multiply
    141,661.76x = 212,414 × 65,677.28
  4. Step 4: Simplify right side
    141,661.76x = 13,950,773,753.92
  5. Step 5: Solve for x
    x = 13,950,773,753.92/141,661.76
  6. Step 6: Final answer
    x = 98,479.46

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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.