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Finding the Fourth Proportional to 153,698.13, 212,103 and 85,715.18

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Solution

The fourth proportional to 153,698.13, 212,103 and 85,715.18 is: 118,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,698.13 : 212,103 = 85,715.18 : x
  2. Step 2: Convert to fraction form
    153,698.13/212,103 = 85,715.18/x
  3. Step 3: Cross multiply
    153,698.13x = 212,103 × 85,715.18
  4. Step 4: Simplify right side
    153,698.13x = 18,180,446,823.54
  5. Step 5: Solve for x
    x = 18,180,446,823.54/153,698.13
  6. Step 6: Final answer
    x = 118,286.71

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1.5x scale

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.