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Finding the Fourth Proportional to 153,639, 230,458.50 and 36,903

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Solution

The fourth proportional to 153,639, 230,458.50 and 36,903 is: 55,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,639 : 230,458.50 = 36,903 : x
  2. Step 2: Convert to fraction form
    153,639/230,458.50 = 36,903/x
  3. Step 3: Cross multiply
    153,639x = 230,458.50 × 36,903
  4. Step 4: Simplify right side
    153,639x = 8,504,610,025.50
  5. Step 5: Solve for x
    x = 8,504,610,025.50/153,639
  6. Step 6: Final answer
    x = 55,354.50

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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.