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Finding the Fourth Proportional to 65,334.80, 98,053.40 and 30,278.80

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Solution

The fourth proportional to 65,334.80, 98,053.40 and 30,278.80 is: 45,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,334.80 : 98,053.40 = 30,278.80 : x
  2. Step 2: Convert to fraction form
    65,334.80/98,053.40 = 30,278.80/x
  3. Step 3: Cross multiply
    65,334.80x = 98,053.40 × 30,278.80
  4. Step 4: Simplify right side
    65,334.80x = 2,968,939,287.92
  5. Step 5: Solve for x
    x = 2,968,939,287.92/65,334.80
  6. Step 6: Final answer
    x = 45,441.93

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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.