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Finding the Fourth Proportional to 153,117.31, 211,311.46 and 85,149.49

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Solution

The fourth proportional to 153,117.31, 211,311.46 and 85,149.49 is: 117,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,117.31 : 211,311.46 = 85,149.49 : x
  2. Step 2: Convert to fraction form
    153,117.31/211,311.46 = 85,149.49/x
  3. Step 3: Cross multiply
    153,117.31x = 211,311.46 × 85,149.49
  4. Step 4: Simplify right side
    153,117.31x = 17,993,063,050.16
  5. Step 5: Solve for x
    x = 17,993,063,050.16/153,117.31
  6. Step 6: Final answer
    x = 117,511.62

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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.