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Finding the Fourth Proportional to 64,641.84, 96,863.40 and 38,294.16

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Solution

The fourth proportional to 64,641.84, 96,863.40 and 38,294.16 is: 57,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,641.84 : 96,863.40 = 38,294.16 : x
  2. Step 2: Convert to fraction form
    64,641.84/96,863.40 = 38,294.16/x
  3. Step 3: Cross multiply
    64,641.84x = 96,863.40 × 38,294.16
  4. Step 4: Simplify right side
    64,641.84x = 3,709,302,537.74
  5. Step 5: Solve for x
    x = 3,709,302,537.74/64,641.84
  6. Step 6: Final answer
    x = 57,382.38

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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.