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Finding the Fourth Proportional to 87,353.63, 120,564.01 and 57,165.74

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Solution

The fourth proportional to 87,353.63, 120,564.01 and 57,165.74 is: 78,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,353.63 : 120,564.01 = 57,165.74 : x
  2. Step 2: Convert to fraction form
    87,353.63/120,564.01 = 57,165.74/x
  3. Step 3: Cross multiply
    87,353.63x = 120,564.01 × 57,165.74
  4. Step 4: Simplify right side
    87,353.63x = 6,892,130,849.02
  5. Step 5: Solve for x
    x = 6,892,130,849.02/87,353.63
  6. Step 6: Final answer
    x = 78,899.19

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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.