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Finding the Fourth Proportional to 102,022.70, 152,904.13 and 57,674.12

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Solution

The fourth proportional to 102,022.70, 152,904.13 and 57,674.12 is: 86,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,022.70 : 152,904.13 = 57,674.12 : x
  2. Step 2: Convert to fraction form
    102,022.70/152,904.13 = 57,674.12/x
  3. Step 3: Cross multiply
    102,022.70x = 152,904.13 × 57,674.12
  4. Step 4: Simplify right side
    102,022.70x = 8,818,611,142.12
  5. Step 5: Solve for x
    x = 8,818,611,142.12/102,022.70
  6. Step 6: Final answer
    x = 86,437.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.