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Finding the Fourth Proportional to 76,663.15, 114,985.63 and 20,507.60

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Solution

The fourth proportional to 76,663.15, 114,985.63 and 20,507.60 is: 30,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,663.15 : 114,985.63 = 20,507.60 : x
  2. Step 2: Convert to fraction form
    76,663.15/114,985.63 = 20,507.60/x
  3. Step 3: Cross multiply
    76,663.15x = 114,985.63 × 20,507.60
  4. Step 4: Simplify right side
    76,663.15x = 2,358,079,305.79
  5. Step 5: Solve for x
    x = 2,358,079,305.79/76,663.15
  6. Step 6: Final answer
    x = 30,758.97

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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.