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Finding the Fourth Proportional to 156,874.84, 216,488.95 and 85,254.86

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Solution

The fourth proportional to 156,874.84, 216,488.95 and 85,254.86 is: 117,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,874.84 : 216,488.95 = 85,254.86 : x
  2. Step 2: Convert to fraction form
    156,874.84/216,488.95 = 85,254.86/x
  3. Step 3: Cross multiply
    156,874.84x = 216,488.95 × 85,254.86
  4. Step 4: Simplify right side
    156,874.84x = 18,456,735,931.44
  5. Step 5: Solve for x
    x = 18,456,735,931.44/156,874.84
  6. Step 6: Final answer
    x = 117,652.62

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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.