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Finding the Fourth Proportional to 165,009, 247,518.36 and 40,350

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Solution

The fourth proportional to 165,009, 247,518.36 and 40,350 is: 60,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,009 : 247,518.36 = 40,350 : x
  2. Step 2: Convert to fraction form
    165,009/247,518.36 = 40,350/x
  3. Step 3: Cross multiply
    165,009x = 247,518.36 × 40,350
  4. Step 4: Simplify right side
    165,009x = 9,987,365,826
  5. Step 5: Solve for x
    x = 9,987,365,826/165,009
  6. Step 6: Final answer
    x = 60,526.19

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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.