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Finding the Fourth Proportional to 100,430.40, 150,646.46 and 25,550.61

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Solution

The fourth proportional to 100,430.40, 150,646.46 and 25,550.61 is: 38,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,430.40 : 150,646.46 = 25,550.61 : x
  2. Step 2: Convert to fraction form
    100,430.40/150,646.46 = 25,550.61/x
  3. Step 3: Cross multiply
    100,430.40x = 150,646.46 × 25,550.61
  4. Step 4: Simplify right side
    100,430.40x = 3,849,108,947.34
  5. Step 5: Solve for x
    x = 3,849,108,947.34/100,430.40
  6. Step 6: Final answer
    x = 38,326.13

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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.