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Finding the Fourth Proportional to 101,994.19, 152,996.75 and 31,878.97

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Solution

The fourth proportional to 101,994.19, 152,996.75 and 31,878.97 is: 47,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,994.19 : 152,996.75 = 31,878.97 : x
  2. Step 2: Convert to fraction form
    101,994.19/152,996.75 = 31,878.97/x
  3. Step 3: Cross multiply
    101,994.19x = 152,996.75 × 31,878.97
  4. Step 4: Simplify right side
    101,994.19x = 4,877,378,381.01
  5. Step 5: Solve for x
    x = 4,877,378,381.01/101,994.19
  6. Step 6: Final answer
    x = 47,820.16

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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.