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Finding the Fourth Proportional to 119,010, 178,515.66 and 30,263.57

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Solution

The fourth proportional to 119,010, 178,515.66 and 30,263.57 is: 45,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,010 : 178,515.66 = 30,263.57 : x
  2. Step 2: Convert to fraction form
    119,010/178,515.66 = 30,263.57/x
  3. Step 3: Cross multiply
    119,010x = 178,515.66 × 30,263.57
  4. Step 4: Simplify right side
    119,010x = 5,402,520,279.93
  5. Step 5: Solve for x
    x = 5,402,520,279.93/119,010
  6. Step 6: Final answer
    x = 45,395.52

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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.