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Finding the Fourth Proportional to 119,165.81, 178,748.65 and 30,419.29

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Solution

The fourth proportional to 119,165.81, 178,748.65 and 30,419.29 is: 45,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,165.81 : 178,748.65 = 30,419.29 : x
  2. Step 2: Convert to fraction form
    119,165.81/178,748.65 = 30,419.29/x
  3. Step 3: Cross multiply
    119,165.81x = 178,748.65 × 30,419.29
  4. Step 4: Simplify right side
    119,165.81x = 5,437,406,277.46
  5. Step 5: Solve for x
    x = 5,437,406,277.46/119,165.81
  6. Step 6: Final answer
    x = 45,628.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.