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Finding the Fourth Proportional to 65,040.30, 97,539.69 and 20,656.67

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Solution

The fourth proportional to 65,040.30, 97,539.69 and 20,656.67 is: 30,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,040.30 : 97,539.69 = 20,656.67 : x
  2. Step 2: Convert to fraction form
    65,040.30/97,539.69 = 20,656.67/x
  3. Step 3: Cross multiply
    65,040.30x = 97,539.69 × 20,656.67
  4. Step 4: Simplify right side
    65,040.30x = 2,014,845,210.46
  5. Step 5: Solve for x
    x = 2,014,845,210.46/65,040.30
  6. Step 6: Final answer
    x = 30,978.41

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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.