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Finding the Fourth Proportional to 189,053.45, 260,890.69 and 103,013.58

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Solution

The fourth proportional to 189,053.45, 260,890.69 and 103,013.58 is: 142,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,053.45 : 260,890.69 = 103,013.58 : x
  2. Step 2: Convert to fraction form
    189,053.45/260,890.69 = 103,013.58/x
  3. Step 3: Cross multiply
    189,053.45x = 260,890.69 × 103,013.58
  4. Step 4: Simplify right side
    189,053.45x = 26,875,283,570.88
  5. Step 5: Solve for x
    x = 26,875,283,570.88/189,053.45
  6. Step 6: Final answer
    x = 142,157.07

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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.