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Finding the Fourth Proportional to 156,963.84, 216,608.58 and 85,343.87

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Solution

The fourth proportional to 156,963.84, 216,608.58 and 85,343.87 is: 117,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,963.84 : 216,608.58 = 85,343.87 : x
  2. Step 2: Convert to fraction form
    156,963.84/216,608.58 = 85,343.87/x
  3. Step 3: Cross multiply
    156,963.84x = 216,608.58 × 85,343.87
  4. Step 4: Simplify right side
    156,963.84x = 18,486,213,089.32
  5. Step 5: Solve for x
    x = 18,486,213,089.32/156,963.84
  6. Step 6: Final answer
    x = 117,773.70

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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.