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Finding the Fourth Proportional to 156,142.76, 215,477.01 and 84,523.37

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Solution

The fourth proportional to 156,142.76, 215,477.01 and 84,523.37 is: 116,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,142.76 : 215,477.01 = 84,523.37 : x
  2. Step 2: Convert to fraction form
    156,142.76/215,477.01 = 84,523.37/x
  3. Step 3: Cross multiply
    156,142.76x = 215,477.01 × 84,523.37
  4. Step 4: Simplify right side
    156,142.76x = 18,212,841,965.34
  5. Step 5: Solve for x
    x = 18,212,841,965.34/156,142.76
  6. Step 6: Final answer
    x = 116,642.25

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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.