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Finding the Fourth Proportional to 102,162.25, 153,243.38 and 28,290.25

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Solution

The fourth proportional to 102,162.25, 153,243.38 and 28,290.25 is: 42,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,162.25 : 153,243.38 = 28,290.25 : x
  2. Step 2: Convert to fraction form
    102,162.25/153,243.38 = 28,290.25/x
  3. Step 3: Cross multiply
    102,162.25x = 153,243.38 × 28,290.25
  4. Step 4: Simplify right side
    102,162.25x = 4,335,293,389.59
  5. Step 5: Solve for x
    x = 4,335,293,389.59/102,162.25
  6. Step 6: Final answer
    x = 42,435.38

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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.