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Finding the Fourth Proportional to 189,076, 260,923.76 and 103,034.80

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Solution

The fourth proportional to 189,076, 260,923.76 and 103,034.80 is: 142,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076 : 260,923.76 = 103,034.80 : x
  2. Step 2: Convert to fraction form
    189,076/260,923.76 = 103,034.80/x
  3. Step 3: Cross multiply
    189,076x = 260,923.76 × 103,034.80
  4. Step 4: Simplify right side
    189,076x = 26,884,227,426.85
  5. Step 5: Solve for x
    x = 26,884,227,426.85/189,076
  6. Step 6: Final answer
    x = 142,187.41

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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.