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Finding the Fourth Proportional to 76,509.52, 114,411.96 and 72,777.04

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Solution

The fourth proportional to 76,509.52, 114,411.96 and 72,777.04 is: 108,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.52 : 114,411.96 = 72,777.04 : x
  2. Step 2: Convert to fraction form
    76,509.52/114,411.96 = 72,777.04/x
  3. Step 3: Cross multiply
    76,509.52x = 114,411.96 × 72,777.04
  4. Step 4: Simplify right side
    76,509.52x = 8,326,563,789.40
  5. Step 5: Solve for x
    x = 8,326,563,789.40/76,509.52
  6. Step 6: Final answer
    x = 108,830.43

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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.