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Finding the Fourth Proportional to 189,053.95, 260,891.38 and 103,014.08

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Solution

The fourth proportional to 189,053.95, 260,891.38 and 103,014.08 is: 142,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,053.95 : 260,891.38 = 103,014.08 : x
  2. Step 2: Convert to fraction form
    189,053.95/260,891.38 = 103,014.08/x
  3. Step 3: Cross multiply
    189,053.95x = 260,891.38 × 103,014.08
  4. Step 4: Simplify right side
    189,053.95x = 26,875,485,490.63
  5. Step 5: Solve for x
    x = 26,875,485,490.63/189,053.95
  6. Step 6: Final answer
    x = 142,157.76

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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.