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Finding the Fourth Proportional to 75,509.78, 104,203.88 and 41,520.45

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Solution

The fourth proportional to 75,509.78, 104,203.88 and 41,520.45 is: 57,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,509.78 : 104,203.88 = 41,520.45 : x
  2. Step 2: Convert to fraction form
    75,509.78/104,203.88 = 41,520.45/x
  3. Step 3: Cross multiply
    75,509.78x = 104,203.88 × 41,520.45
  4. Step 4: Simplify right side
    75,509.78x = 4,326,592,328.21
  5. Step 5: Solve for x
    x = 4,326,592,328.21/75,509.78
  6. Step 6: Final answer
    x = 57,298.44

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1.5x scale

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.