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Finding the Fourth Proportional to 208,101.69, 312,152.67 and 50,330.30

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Solution

The fourth proportional to 208,101.69, 312,152.67 and 50,330.30 is: 75,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,101.69 : 312,152.67 = 50,330.30 : x
  2. Step 2: Convert to fraction form
    208,101.69/312,152.67 = 50,330.30/x
  3. Step 3: Cross multiply
    208,101.69x = 312,152.67 × 50,330.30
  4. Step 4: Simplify right side
    208,101.69x = 15,710,735,966.14
  5. Step 5: Solve for x
    x = 15,710,735,966.14/208,101.69
  6. Step 6: Final answer
    x = 75,495.48

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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.