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Finding the Fourth Proportional to 75,443.60, 113,384.10 and 65,820.80

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Solution

The fourth proportional to 75,443.60, 113,384.10 and 65,820.80 is: 98,922.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,443.60 : 113,384.10 = 65,820.80 : x
  2. Step 2: Convert to fraction form
    75,443.60/113,384.10 = 65,820.80/x
  3. Step 3: Cross multiply
    75,443.60x = 113,384.10 × 65,820.80
  4. Step 4: Simplify right side
    75,443.60x = 7,463,032,169.28
  5. Step 5: Solve for x
    x = 7,463,032,169.28/75,443.60
  6. Step 6: Final answer
    x = 98,922.00

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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.