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Finding the Fourth Proportional to 101,470.71, 152,163.26 and 30,403.45

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Solution

The fourth proportional to 101,470.71, 152,163.26 and 30,403.45 is: 45,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,470.71 : 152,163.26 = 30,403.45 : x
  2. Step 2: Convert to fraction form
    101,470.71/152,163.26 = 30,403.45/x
  3. Step 3: Cross multiply
    101,470.71x = 152,163.26 × 30,403.45
  4. Step 4: Simplify right side
    101,470.71x = 4,626,287,154.41
  5. Step 5: Solve for x
    x = 4,626,287,154.41/101,470.71
  6. Step 6: Final answer
    x = 45,592.34

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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.