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Finding the Fourth Proportional to 208,019.70, 312,029.55 and 83,450.10

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Solution

The fourth proportional to 208,019.70, 312,029.55 and 83,450.10 is: 125,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,019.70 : 312,029.55 = 83,450.10 : x
  2. Step 2: Convert to fraction form
    208,019.70/312,029.55 = 83,450.10/x
  3. Step 3: Cross multiply
    208,019.70x = 312,029.55 × 83,450.10
  4. Step 4: Simplify right side
    208,019.70x = 26,038,897,150.46
  5. Step 5: Solve for x
    x = 26,038,897,150.46/208,019.70
  6. Step 6: Final answer
    x = 125,175.15

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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.