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Finding the Fourth Proportional to 76,060.50, 114,091.02 and 20,656.50

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Solution

The fourth proportional to 76,060.50, 114,091.02 and 20,656.50 is: 30,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,060.50 : 114,091.02 = 20,656.50 : x
  2. Step 2: Convert to fraction form
    76,060.50/114,091.02 = 20,656.50/x
  3. Step 3: Cross multiply
    76,060.50x = 114,091.02 × 20,656.50
  4. Step 4: Simplify right side
    76,060.50x = 2,356,721,154.63
  5. Step 5: Solve for x
    x = 2,356,721,154.63/76,060.50
  6. Step 6: Final answer
    x = 30,984.82

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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.