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Finding the Fourth Proportional to 208,443.50, 312,588.66 and 71,627.80

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Solution

The fourth proportional to 208,443.50, 312,588.66 and 71,627.80 is: 107,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,443.50 : 312,588.66 = 71,627.80 : x
  2. Step 2: Convert to fraction form
    208,443.50/312,588.66 = 71,627.80/x
  3. Step 3: Cross multiply
    208,443.50x = 312,588.66 × 71,627.80
  4. Step 4: Simplify right side
    208,443.50x = 22,390,038,020.75
  5. Step 5: Solve for x
    x = 22,390,038,020.75/208,443.50
  6. Step 6: Final answer
    x = 107,415.38

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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.