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Finding the Fourth Proportional to 189,070, 260,908.20 and 103,029.28

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Solution

The fourth proportional to 189,070, 260,908.20 and 103,029.28 is: 142,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,070 : 260,908.20 = 103,029.28 : x
  2. Step 2: Convert to fraction form
    189,070/260,908.20 = 103,029.28/x
  3. Step 3: Cross multiply
    189,070x = 260,908.20 × 103,029.28
  4. Step 4: Simplify right side
    189,070x = 26,881,183,992.10
  5. Step 5: Solve for x
    x = 26,881,183,992.10/189,070
  6. Step 6: Final answer
    x = 142,175.83

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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.