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Finding the Fourth Proportional to 75,864.40, 113,537.40 and 66,533.20

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Solution

The fourth proportional to 75,864.40, 113,537.40 and 66,533.20 is: 99,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,864.40 : 113,537.40 = 66,533.20 : x
  2. Step 2: Convert to fraction form
    75,864.40/113,537.40 = 66,533.20/x
  3. Step 3: Cross multiply
    75,864.40x = 113,537.40 × 66,533.20
  4. Step 4: Simplify right side
    75,864.40x = 7,554,006,541.68
  5. Step 5: Solve for x
    x = 7,554,006,541.68/75,864.40
  6. Step 6: Final answer
    x = 99,572.48

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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.