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Finding the Fourth Proportional to 64,977.48, 97,411.55 and 31,680.41

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Solution

The fourth proportional to 64,977.48, 97,411.55 and 31,680.41 is: 47,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,977.48 : 97,411.55 = 31,680.41 : x
  2. Step 2: Convert to fraction form
    64,977.48/97,411.55 = 31,680.41/x
  3. Step 3: Cross multiply
    64,977.48x = 97,411.55 × 31,680.41
  4. Step 4: Simplify right side
    64,977.48x = 3,086,037,197.28
  5. Step 5: Solve for x
    x = 3,086,037,197.28/64,977.48
  6. Step 6: Final answer
    x = 47,493.95

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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.