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Finding the Fourth Proportional to 156,235.78, 215,605.31 and 84,615.81

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Solution

The fourth proportional to 156,235.78, 215,605.31 and 84,615.81 is: 116,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,235.78 : 215,605.31 = 84,615.81 : x
  2. Step 2: Convert to fraction form
    156,235.78/215,605.31 = 84,615.81/x
  3. Step 3: Cross multiply
    156,235.78x = 215,605.31 × 84,615.81
  4. Step 4: Simplify right side
    156,235.78x = 18,243,617,945.95
  5. Step 5: Solve for x
    x = 18,243,617,945.95/156,235.78
  6. Step 6: Final answer
    x = 116,769.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.