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Finding the Fourth Proportional to 235,740.30, 325,328.67 and 145,148.54

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Solution

The fourth proportional to 235,740.30, 325,328.67 and 145,148.54 is: 200,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,740.30 : 325,328.67 = 145,148.54 : x
  2. Step 2: Convert to fraction form
    235,740.30/325,328.67 = 145,148.54/x
  3. Step 3: Cross multiply
    235,740.30x = 325,328.67 × 145,148.54
  4. Step 4: Simplify right side
    235,740.30x = 47,220,979,844.00
  5. Step 5: Solve for x
    x = 47,220,979,844.00/235,740.30
  6. Step 6: Final answer
    x = 200,309.32

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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.