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Finding the Fourth Proportional to 64,540.57, 89,041.10 and 47,585.15

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Solution

The fourth proportional to 64,540.57, 89,041.10 and 47,585.15 is: 65,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,540.57 : 89,041.10 = 47,585.15 : x
  2. Step 2: Convert to fraction form
    64,540.57/89,041.10 = 47,585.15/x
  3. Step 3: Cross multiply
    64,540.57x = 89,041.10 × 47,585.15
  4. Step 4: Simplify right side
    64,540.57x = 4,237,034,099.67
  5. Step 5: Solve for x
    x = 4,237,034,099.67/64,540.57
  6. Step 6: Final answer
    x = 65,649.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.