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Finding the Fourth Proportional to 247,663.68, 371,495.52 and 99,816

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Solution

The fourth proportional to 247,663.68, 371,495.52 and 99,816 is: 149,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,663.68 : 371,495.52 = 99,816 : x
  2. Step 2: Convert to fraction form
    247,663.68/371,495.52 = 99,816/x
  3. Step 3: Cross multiply
    247,663.68x = 371,495.52 × 99,816
  4. Step 4: Simplify right side
    247,663.68x = 37,081,196,824.32
  5. Step 5: Solve for x
    x = 37,081,196,824.32/247,663.68
  6. Step 6: Final answer
    x = 149,724

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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.