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Finding the Fourth Proportional to 102,118.50, 153,186.39 and 28,246.50

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Solution

The fourth proportional to 102,118.50, 153,186.39 and 28,246.50 is: 42,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,118.50 : 153,186.39 = 28,246.50 : x
  2. Step 2: Convert to fraction form
    102,118.50/153,186.39 = 28,246.50/x
  3. Step 3: Cross multiply
    102,118.50x = 153,186.39 × 28,246.50
  4. Step 4: Simplify right side
    102,118.50x = 4,326,979,365.14
  5. Step 5: Solve for x
    x = 4,326,979,365.14/102,118.50
  6. Step 6: Final answer
    x = 42,372.14

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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.