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Finding the Fourth Proportional to 76,698.48, 115,038.54 and 20,542.80

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Solution

The fourth proportional to 76,698.48, 115,038.54 and 20,542.80 is: 30,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698.48 : 115,038.54 = 20,542.80 : x
  2. Step 2: Convert to fraction form
    76,698.48/115,038.54 = 20,542.80/x
  3. Step 3: Cross multiply
    76,698.48x = 115,038.54 × 20,542.80
  4. Step 4: Simplify right side
    76,698.48x = 2,363,213,719.51
  5. Step 5: Solve for x
    x = 2,363,213,719.51/76,698.48
  6. Step 6: Final answer
    x = 30,811.74

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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.