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Finding the Fourth Proportional to 153,850.72, 212,313.41 and 85,866.95

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Solution

The fourth proportional to 153,850.72, 212,313.41 and 85,866.95 is: 118,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,850.72 : 212,313.41 = 85,866.95 : x
  2. Step 2: Convert to fraction form
    153,850.72/212,313.41 = 85,866.95/x
  3. Step 3: Cross multiply
    153,850.72x = 212,313.41 × 85,866.95
  4. Step 4: Simplify right side
    153,850.72x = 18,230,704,960.80
  5. Step 5: Solve for x
    x = 18,230,704,960.80/153,850.72
  6. Step 6: Final answer
    x = 118,496.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.