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Finding the Fourth Proportional to 101,870.70, 152,820.62 and 31,755.48

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Solution

The fourth proportional to 101,870.70, 152,820.62 and 31,755.48 is: 47,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,870.70 : 152,820.62 = 31,755.48 : x
  2. Step 2: Convert to fraction form
    101,870.70/152,820.62 = 31,755.48/x
  3. Step 3: Cross multiply
    101,870.70x = 152,820.62 × 31,755.48
  4. Step 4: Simplify right side
    101,870.70x = 4,852,891,983.22
  5. Step 5: Solve for x
    x = 4,852,891,983.22/101,870.70
  6. Step 6: Final answer
    x = 47,637.76

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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.