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Finding the Fourth Proportional to 208,081.20, 312,121.80 and 145,095.60

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Solution

The fourth proportional to 208,081.20, 312,121.80 and 145,095.60 is: 217,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,081.20 : 312,121.80 = 145,095.60 : x
  2. Step 2: Convert to fraction form
    208,081.20/312,121.80 = 145,095.60/x
  3. Step 3: Cross multiply
    208,081.20x = 312,121.80 × 145,095.60
  4. Step 4: Simplify right side
    208,081.20x = 45,287,499,844.08
  5. Step 5: Solve for x
    x = 45,287,499,844.08/208,081.20
  6. Step 6: Final answer
    x = 217,643.40

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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.