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Finding the Fourth Proportional to 141,962.48, 212,981.98 and 47,208

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Solution

The fourth proportional to 141,962.48, 212,981.98 and 47,208 is: 70,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,962.48 : 212,981.98 = 47,208 : x
  2. Step 2: Convert to fraction form
    141,962.48/212,981.98 = 47,208/x
  3. Step 3: Cross multiply
    141,962.48x = 212,981.98 × 47,208
  4. Step 4: Simplify right side
    141,962.48x = 10,054,453,311.84
  5. Step 5: Solve for x
    x = 10,054,453,311.84/141,962.48
  6. Step 6: Final answer
    x = 70,824.72

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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.