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Finding the Fourth Proportional to 99,856.70, 137,803.17 and 56,834.07

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Solution

The fourth proportional to 99,856.70, 137,803.17 and 56,834.07 is: 78,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,856.70 : 137,803.17 = 56,834.07 : x
  2. Step 2: Convert to fraction form
    99,856.70/137,803.17 = 56,834.07/x
  3. Step 3: Cross multiply
    99,856.70x = 137,803.17 × 56,834.07
  4. Step 4: Simplify right side
    99,856.70x = 7,831,915,010.00
  5. Step 5: Solve for x
    x = 7,831,915,010.00/99,856.70
  6. Step 6: Final answer
    x = 78,431.55

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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.