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Finding the Fourth Proportional to 156,076.62, 215,386.11 and 84,457.41

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Solution

The fourth proportional to 156,076.62, 215,386.11 and 84,457.41 is: 116,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,076.62 : 215,386.11 = 84,457.41 : x
  2. Step 2: Convert to fraction form
    156,076.62/215,386.11 = 84,457.41/x
  3. Step 3: Cross multiply
    156,076.62x = 215,386.11 × 84,457.41
  4. Step 4: Simplify right side
    156,076.62x = 18,190,953,000.58
  5. Step 5: Solve for x
    x = 18,190,953,000.58/156,076.62
  6. Step 6: Final answer
    x = 116,551.43

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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.