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Finding the Fourth Proportional to 208,046.60, 312,069.90 and 103,070.60

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Solution

The fourth proportional to 208,046.60, 312,069.90 and 103,070.60 is: 154,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,046.60 : 312,069.90 = 103,070.60 : x
  2. Step 2: Convert to fraction form
    208,046.60/312,069.90 = 103,070.60/x
  3. Step 3: Cross multiply
    208,046.60x = 312,069.90 × 103,070.60
  4. Step 4: Simplify right side
    208,046.60x = 32,165,231,834.94
  5. Step 5: Solve for x
    x = 32,165,231,834.94/208,046.60
  6. Step 6: Final answer
    x = 154,605.90

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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.