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Finding the Fourth Proportional to 156,871.86, 216,482.91 and 85,251.72

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Solution

The fourth proportional to 156,871.86, 216,482.91 and 85,251.72 is: 117,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,871.86 : 216,482.91 = 85,251.72 : x
  2. Step 2: Convert to fraction form
    156,871.86/216,482.91 = 85,251.72/x
  3. Step 3: Cross multiply
    156,871.86x = 216,482.91 × 85,251.72
  4. Step 4: Simplify right side
    156,871.86x = 18,455,540,428.11
  5. Step 5: Solve for x
    x = 18,455,540,428.11/156,871.86
  6. Step 6: Final answer
    x = 117,647.23

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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.