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Finding the Fourth Proportional to 141,800.64, 212,648 and 47,013.44

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Solution

The fourth proportional to 141,800.64, 212,648 and 47,013.44 is: 70,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,800.64 : 212,648 = 47,013.44 : x
  2. Step 2: Convert to fraction form
    141,800.64/212,648 = 47,013.44/x
  3. Step 3: Cross multiply
    141,800.64x = 212,648 × 47,013.44
  4. Step 4: Simplify right side
    141,800.64x = 9,997,313,989.12
  5. Step 5: Solve for x
    x = 9,997,313,989.12/141,800.64
  6. Step 6: Final answer
    x = 70,502.60

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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.