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Finding the Fourth Proportional to 99,856.70, 137,803.18 and 56,834.08

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Solution

The fourth proportional to 99,856.70, 137,803.18 and 56,834.08 is: 78,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,856.70 : 137,803.18 = 56,834.08 : x
  2. Step 2: Convert to fraction form
    99,856.70/137,803.18 = 56,834.08/x
  3. Step 3: Cross multiply
    99,856.70x = 137,803.18 × 56,834.08
  4. Step 4: Simplify right side
    99,856.70x = 7,831,916,469.78
  5. Step 5: Solve for x
    x = 7,831,916,469.78/99,856.70
  6. Step 6: Final answer
    x = 78,431.56

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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.