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Finding the Fourth Proportional to 99,856.58, 137,803.02 and 56,833.96

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Solution

The fourth proportional to 99,856.58, 137,803.02 and 56,833.96 is: 78,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,856.58 : 137,803.02 = 56,833.96 : x
  2. Step 2: Convert to fraction form
    99,856.58/137,803.02 = 56,833.96/x
  3. Step 3: Cross multiply
    99,856.58x = 137,803.02 × 56,833.96
  4. Step 4: Simplify right side
    99,856.58x = 7,831,891,285.69
  5. Step 5: Solve for x
    x = 7,831,891,285.69/99,856.58
  6. Step 6: Final answer
    x = 78,431.40

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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.