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Finding the Fourth Proportional to 64,820.40, 97,252.20 and 31,561.20

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Solution

The fourth proportional to 64,820.40, 97,252.20 and 31,561.20 is: 47,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,820.40 : 97,252.20 = 31,561.20 : x
  2. Step 2: Convert to fraction form
    64,820.40/97,252.20 = 31,561.20/x
  3. Step 3: Cross multiply
    64,820.40x = 97,252.20 × 31,561.20
  4. Step 4: Simplify right side
    64,820.40x = 3,069,396,134.64
  5. Step 5: Solve for x
    x = 3,069,396,134.64/64,820.40
  6. Step 6: Final answer
    x = 47,352.32

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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.