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Finding the Fourth Proportional to 99,803.73, 137,724.33 and 56,779.19

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Solution

The fourth proportional to 99,803.73, 137,724.33 and 56,779.19 is: 78,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,803.73 : 137,724.33 = 56,779.19 : x
  2. Step 2: Convert to fraction form
    99,803.73/137,724.33 = 56,779.19/x
  3. Step 3: Cross multiply
    99,803.73x = 137,724.33 × 56,779.19
  4. Step 4: Simplify right side
    99,803.73x = 7,819,875,900.69
  5. Step 5: Solve for x
    x = 7,819,875,900.69/99,803.73
  6. Step 6: Final answer
    x = 78,352.54

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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.