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Finding the Fourth Proportional to 156,108.96, 215,462.16 and 105,824.16

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Solution

The fourth proportional to 156,108.96, 215,462.16 and 105,824.16 is: 146,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,108.96 : 215,462.16 = 105,824.16 : x
  2. Step 2: Convert to fraction form
    156,108.96/215,462.16 = 105,824.16/x
  3. Step 3: Cross multiply
    156,108.96x = 215,462.16 × 105,824.16
  4. Step 4: Simplify right side
    156,108.96x = 22,801,102,093.79
  5. Step 5: Solve for x
    x = 22,801,102,093.79/156,108.96
  6. Step 6: Final answer
    x = 146,058.89

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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.