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Finding the Fourth Proportional to 208,173.59, 312,266.34 and 66,019.53

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Solution

The fourth proportional to 208,173.59, 312,266.34 and 66,019.53 is: 99,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,173.59 : 312,266.34 = 66,019.53 : x
  2. Step 2: Convert to fraction form
    208,173.59/312,266.34 = 66,019.53/x
  3. Step 3: Cross multiply
    208,173.59x = 312,266.34 × 66,019.53
  4. Step 4: Simplify right side
    208,173.59x = 20,615,677,001.62
  5. Step 5: Solve for x
    x = 20,615,677,001.62/208,173.59
  6. Step 6: Final answer
    x = 99,031.19

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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.