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Finding the Fourth Proportional to 156,745.71, 216,375.30 and 105,827.40

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Solution

The fourth proportional to 156,745.71, 216,375.30 and 105,827.40 is: 146,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,745.71 : 216,375.30 = 105,827.40 : x
  2. Step 2: Convert to fraction form
    156,745.71/216,375.30 = 105,827.40/x
  3. Step 3: Cross multiply
    156,745.71x = 216,375.30 × 105,827.40
  4. Step 4: Simplify right side
    156,745.71x = 22,898,435,423.22
  5. Step 5: Solve for x
    x = 22,898,435,423.22/156,745.71
  6. Step 6: Final answer
    x = 146,086.52

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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.