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Finding the Fourth Proportional to 189,002.53, 260,823.95 and 104,121.01

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Solution

The fourth proportional to 189,002.53, 260,823.95 and 104,121.01 is: 143,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,002.53 : 260,823.95 = 104,121.01 : x
  2. Step 2: Convert to fraction form
    189,002.53/260,823.95 = 104,121.01/x
  3. Step 3: Cross multiply
    189,002.53x = 260,823.95 × 104,121.01
  4. Step 4: Simplify right side
    189,002.53x = 27,157,253,106.19
  5. Step 5: Solve for x
    x = 27,157,253,106.19/189,002.53
  6. Step 6: Final answer
    x = 143,687.25

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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.