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Finding the Fourth Proportional to 65,240.40, 97,860.63 and 18,493.68

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Solution

The fourth proportional to 65,240.40, 97,860.63 and 18,493.68 is: 27,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240.40 : 97,860.63 = 18,493.68 : x
  2. Step 2: Convert to fraction form
    65,240.40/97,860.63 = 18,493.68/x
  3. Step 3: Cross multiply
    65,240.40x = 97,860.63 × 18,493.68
  4. Step 4: Simplify right side
    65,240.40x = 1,809,803,175.82
  5. Step 5: Solve for x
    x = 1,809,803,175.82/65,240.40
  6. Step 6: Final answer
    x = 27,740.53

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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.