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Finding the Fourth Proportional to 208,153.40, 312,230.10 and 103,046.20

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Solution

The fourth proportional to 208,153.40, 312,230.10 and 103,046.20 is: 154,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,153.40 : 312,230.10 = 103,046.20 : x
  2. Step 2: Convert to fraction form
    208,153.40/312,230.10 = 103,046.20/x
  3. Step 3: Cross multiply
    208,153.40x = 312,230.10 × 103,046.20
  4. Step 4: Simplify right side
    208,153.40x = 32,174,125,330.62
  5. Step 5: Solve for x
    x = 32,174,125,330.62/208,153.40
  6. Step 6: Final answer
    x = 154,569.30

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1.5x scale

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.