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Finding the Fourth Proportional to 64,871.31, 89,531.01 and 38,024.40

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Solution

The fourth proportional to 64,871.31, 89,531.01 and 38,024.40 is: 52,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,871.31 : 89,531.01 = 38,024.40 : x
  2. Step 2: Convert to fraction form
    64,871.31/89,531.01 = 38,024.40/x
  3. Step 3: Cross multiply
    64,871.31x = 89,531.01 × 38,024.40
  4. Step 4: Simplify right side
    64,871.31x = 3,404,362,936.64
  5. Step 5: Solve for x
    x = 3,404,362,936.64/64,871.31
  6. Step 6: Final answer
    x = 52,478.71

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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.