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Finding the Fourth Proportional to 102,108.67, 153,177.59 and 31,993.45

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Solution

The fourth proportional to 102,108.67, 153,177.59 and 31,993.45 is: 47,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,108.67 : 153,177.59 = 31,993.45 : x
  2. Step 2: Convert to fraction form
    102,108.67/153,177.59 = 31,993.45/x
  3. Step 3: Cross multiply
    102,108.67x = 153,177.59 × 31,993.45
  4. Step 4: Simplify right side
    102,108.67x = 4,900,680,125.45
  5. Step 5: Solve for x
    x = 4,900,680,125.45/102,108.67
  6. Step 6: Final answer
    x = 47,994.75

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1.5x scale

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.