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Finding the Fourth Proportional to 72,314.32, 108,548.16 and 64,048

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Solution

The fourth proportional to 72,314.32, 108,548.16 and 64,048 is: 96,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,314.32 : 108,548.16 = 64,048 : x
  2. Step 2: Convert to fraction form
    72,314.32/108,548.16 = 64,048/x
  3. Step 3: Cross multiply
    72,314.32x = 108,548.16 × 64,048
  4. Step 4: Simplify right side
    72,314.32x = 6,952,292,551.68
  5. Step 5: Solve for x
    x = 6,952,292,551.68/72,314.32
  6. Step 6: Final answer
    x = 96,139.91

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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.