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Finding the Fourth Proportional to 208,547.60, 312,821.40 and 129,621.20

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Solution

The fourth proportional to 208,547.60, 312,821.40 and 129,621.20 is: 194,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,547.60 : 312,821.40 = 129,621.20 : x
  2. Step 2: Convert to fraction form
    208,547.60/312,821.40 = 129,621.20/x
  3. Step 3: Cross multiply
    208,547.60x = 312,821.40 × 129,621.20
  4. Step 4: Simplify right side
    208,547.60x = 40,548,285,253.68
  5. Step 5: Solve for x
    x = 40,548,285,253.68/208,547.60
  6. Step 6: Final answer
    x = 194,431.80

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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.