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Finding the Fourth Proportional to 102,388.50, 153,582.75 and 28,516.50

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Solution

The fourth proportional to 102,388.50, 153,582.75 and 28,516.50 is: 42,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,388.50 : 153,582.75 = 28,516.50 : x
  2. Step 2: Convert to fraction form
    102,388.50/153,582.75 = 28,516.50/x
  3. Step 3: Cross multiply
    102,388.50x = 153,582.75 × 28,516.50
  4. Step 4: Simplify right side
    102,388.50x = 4,379,642,490.38
  5. Step 5: Solve for x
    x = 4,379,642,490.38/102,388.50
  6. Step 6: Final answer
    x = 42,774.75

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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.