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Finding the Fourth Proportional to 72,798.39, 109,223.86 and 25,420.46

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Solution

The fourth proportional to 72,798.39, 109,223.86 and 25,420.46 is: 38,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798.39 : 109,223.86 = 25,420.46 : x
  2. Step 2: Convert to fraction form
    72,798.39/109,223.86 = 25,420.46/x
  3. Step 3: Cross multiply
    72,798.39x = 109,223.86 × 25,420.46
  4. Step 4: Simplify right side
    72,798.39x = 2,776,520,973.68
  5. Step 5: Solve for x
    x = 2,776,520,973.68/72,798.39
  6. Step 6: Final answer
    x = 38,139.87

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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.