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Finding the Fourth Proportional to 99,822.48, 137,758.03 and 56,808.14

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Solution

The fourth proportional to 99,822.48, 137,758.03 and 56,808.14 is: 78,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,822.48 : 137,758.03 = 56,808.14 : x
  2. Step 2: Convert to fraction form
    99,822.48/137,758.03 = 56,808.14/x
  3. Step 3: Cross multiply
    99,822.48x = 137,758.03 × 56,808.14
  4. Step 4: Simplify right side
    99,822.48x = 7,825,776,988.78
  5. Step 5: Solve for x
    x = 7,825,776,988.78/99,822.48
  6. Step 6: Final answer
    x = 78,396.94

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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.