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Finding the Fourth Proportional to 141,878.13, 212,352.41 and 77,738.46

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Solution

The fourth proportional to 141,878.13, 212,352.41 and 77,738.46 is: 116,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878.13 : 212,352.41 = 77,738.46 : x
  2. Step 2: Convert to fraction form
    141,878.13/212,352.41 = 77,738.46/x
  3. Step 3: Cross multiply
    141,878.13x = 212,352.41 × 77,738.46
  4. Step 4: Simplify right side
    141,878.13x = 16,507,948,689.60
  5. Step 5: Solve for x
    x = 16,507,948,689.60/141,878.13
  6. Step 6: Final answer
    x = 116,353.02

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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.