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Finding the Fourth Proportional to 76,043.52, 104,939.28 and 42,509.52

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Solution

The fourth proportional to 76,043.52, 104,939.28 and 42,509.52 is: 58,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,043.52 : 104,939.28 = 42,509.52 : x
  2. Step 2: Convert to fraction form
    76,043.52/104,939.28 = 42,509.52/x
  3. Step 3: Cross multiply
    76,043.52x = 104,939.28 × 42,509.52
  4. Step 4: Simplify right side
    76,043.52x = 4,460,918,421.95
  5. Step 5: Solve for x
    x = 4,460,918,421.95/76,043.52
  6. Step 6: Final answer
    x = 58,662.70

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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.