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Finding the Fourth Proportional to 189,322.86, 261,264.15 and 104,437.98

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Solution

The fourth proportional to 189,322.86, 261,264.15 and 104,437.98 is: 144,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,322.86 : 261,264.15 = 104,437.98 : x
  2. Step 2: Convert to fraction form
    189,322.86/261,264.15 = 104,437.98/x
  3. Step 3: Cross multiply
    189,322.86x = 261,264.15 × 104,437.98
  4. Step 4: Simplify right side
    189,322.86x = 27,285,900,072.42
  5. Step 5: Solve for x
    x = 27,285,900,072.42/189,322.86
  6. Step 6: Final answer
    x = 144,123.64

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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.