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Finding the Fourth Proportional to 189,902.64, 262,048.05 and 105,017.88

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Solution

The fourth proportional to 189,902.64, 262,048.05 and 105,017.88 is: 144,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,902.64 : 262,048.05 = 105,017.88 : x
  2. Step 2: Convert to fraction form
    189,902.64/262,048.05 = 105,017.88/x
  3. Step 3: Cross multiply
    189,902.64x = 262,048.05 × 105,017.88
  4. Step 4: Simplify right side
    189,902.64x = 27,519,730,669.13
  5. Step 5: Solve for x
    x = 27,519,730,669.13/189,902.64
  6. Step 6: Final answer
    x = 144,914.95

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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.