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Finding the Fourth Proportional to 212,078.99, 318,034.78 and 85,695.41

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Solution

The fourth proportional to 212,078.99, 318,034.78 and 85,695.41 is: 128,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,078.99 : 318,034.78 = 85,695.41 : x
  2. Step 2: Convert to fraction form
    212,078.99/318,034.78 = 85,695.41/x
  3. Step 3: Cross multiply
    212,078.99x = 318,034.78 × 85,695.41
  4. Step 4: Simplify right side
    212,078.99x = 27,254,119,061.95
  5. Step 5: Solve for x
    x = 27,254,119,061.95/212,078.99
  6. Step 6: Final answer
    x = 128,509.29

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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.