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Finding the Fourth Proportional to 156,898.83, 216,521.70 and 85,278.84

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Solution

The fourth proportional to 156,898.83, 216,521.70 and 85,278.84 is: 117,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,898.83 : 216,521.70 = 85,278.84 : x
  2. Step 2: Convert to fraction form
    156,898.83/216,521.70 = 85,278.84/x
  3. Step 3: Cross multiply
    156,898.83x = 216,521.70 × 85,278.84
  4. Step 4: Simplify right side
    156,898.83x = 18,464,719,410.83
  5. Step 5: Solve for x
    x = 18,464,719,410.83/156,898.83
  6. Step 6: Final answer
    x = 117,685.51

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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.