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Finding the Fourth Proportional to 166,203.34, 249,305 and 77,518.87

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Solution

The fourth proportional to 166,203.34, 249,305 and 77,518.87 is: 116,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,203.34 : 249,305 = 77,518.87 : x
  2. Step 2: Convert to fraction form
    166,203.34/249,305 = 77,518.87/x
  3. Step 3: Cross multiply
    166,203.34x = 249,305 × 77,518.87
  4. Step 4: Simplify right side
    166,203.34x = 19,325,841,885.35
  5. Step 5: Solve for x
    x = 19,325,841,885.35/166,203.34
  6. Step 6: Final answer
    x = 116,278.30

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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.