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Finding the Fourth Proportional to 101,428.80, 152,164.80 and 31,315.20

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Solution

The fourth proportional to 101,428.80, 152,164.80 and 31,315.20 is: 46,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,428.80 : 152,164.80 = 31,315.20 : x
  2. Step 2: Convert to fraction form
    101,428.80/152,164.80 = 31,315.20/x
  3. Step 3: Cross multiply
    101,428.80x = 152,164.80 × 31,315.20
  4. Step 4: Simplify right side
    101,428.80x = 4,765,071,144.96
  5. Step 5: Solve for x
    x = 4,765,071,144.96/101,428.80
  6. Step 6: Final answer
    x = 46,979.47

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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.