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Finding the Fourth Proportional to 212,002, 318,148.80 and 87,343

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Solution

The fourth proportional to 212,002, 318,148.80 and 87,343 is: 131,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,002 : 318,148.80 = 87,343 : x
  2. Step 2: Convert to fraction form
    212,002/318,148.80 = 87,343/x
  3. Step 3: Cross multiply
    212,002x = 318,148.80 × 87,343
  4. Step 4: Simplify right side
    212,002x = 27,788,070,638.40
  5. Step 5: Solve for x
    x = 27,788,070,638.40/212,002
  6. Step 6: Final answer
    x = 131,074.57

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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.