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Finding the Fourth Proportional to 87,649.76, 120,907.68 and 57,440

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Solution

The fourth proportional to 87,649.76, 120,907.68 and 57,440 is: 79,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,649.76 : 120,907.68 = 57,440 : x
  2. Step 2: Convert to fraction form
    87,649.76/120,907.68 = 57,440/x
  3. Step 3: Cross multiply
    87,649.76x = 120,907.68 × 57,440
  4. Step 4: Simplify right side
    87,649.76x = 6,944,937,139.20
  5. Step 5: Solve for x
    x = 6,944,937,139.20/87,649.76
  6. Step 6: Final answer
    x = 79,235.10

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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.