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Finding the Fourth Proportional to 208,029.70, 312,044.55 and 83,460.10

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Solution

The fourth proportional to 208,029.70, 312,044.55 and 83,460.10 is: 125,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,029.70 : 312,044.55 = 83,460.10 : x
  2. Step 2: Convert to fraction form
    208,029.70/312,044.55 = 83,460.10/x
  3. Step 3: Cross multiply
    208,029.70x = 312,044.55 × 83,460.10
  4. Step 4: Simplify right side
    208,029.70x = 26,043,269,347.46
  5. Step 5: Solve for x
    x = 26,043,269,347.46/208,029.70
  6. Step 6: Final answer
    x = 125,190.15

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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.