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Finding the Fourth Proportional to 76,579.79, 114,854.54 and 72,782.26

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Solution

The fourth proportional to 76,579.79, 114,854.54 and 72,782.26 is: 109,159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,579.79 : 114,854.54 = 72,782.26 : x
  2. Step 2: Convert to fraction form
    76,579.79/114,854.54 = 72,782.26/x
  3. Step 3: Cross multiply
    76,579.79x = 114,854.54 × 72,782.26
  4. Step 4: Simplify right side
    76,579.79x = 8,359,372,992.46
  5. Step 5: Solve for x
    x = 8,359,372,992.46/76,579.79
  6. Step 6: Final answer
    x = 109,159.00

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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.