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Finding the Fourth Proportional to 164,859.30, 247,288.95 and 40,200.30

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Solution

The fourth proportional to 164,859.30, 247,288.95 and 40,200.30 is: 60,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,859.30 : 247,288.95 = 40,200.30 : x
  2. Step 2: Convert to fraction form
    164,859.30/247,288.95 = 40,200.30/x
  3. Step 3: Cross multiply
    164,859.30x = 247,288.95 × 40,200.30
  4. Step 4: Simplify right side
    164,859.30x = 9,941,089,976.69
  5. Step 5: Solve for x
    x = 9,941,089,976.69/164,859.30
  6. Step 6: Final answer
    x = 60,300.45

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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.