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Finding the Fourth Proportional to 105,002.87, 144,904.64 and 57,257.01

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Solution

The fourth proportional to 105,002.87, 144,904.64 and 57,257.01 is: 79,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,002.87 : 144,904.64 = 57,257.01 : x
  2. Step 2: Convert to fraction form
    105,002.87/144,904.64 = 57,257.01/x
  3. Step 3: Cross multiply
    105,002.87x = 144,904.64 × 57,257.01
  4. Step 4: Simplify right side
    105,002.87x = 8,296,806,135.24
  5. Step 5: Solve for x
    x = 8,296,806,135.24/105,002.87
  6. Step 6: Final answer
    x = 79,015.05

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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.