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Finding the Fourth Proportional to 267,142.50, 368,656.65 and 153,972.54

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Solution

The fourth proportional to 267,142.50, 368,656.65 and 153,972.54 is: 212,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142.50 : 368,656.65 = 153,972.54 : x
  2. Step 2: Convert to fraction form
    267,142.50/368,656.65 = 153,972.54/x
  3. Step 3: Cross multiply
    267,142.50x = 368,656.65 × 153,972.54
  4. Step 4: Simplify right side
    267,142.50x = 56,763,000,788.39
  5. Step 5: Solve for x
    x = 56,763,000,788.39/267,142.50
  6. Step 6: Final answer
    x = 212,482.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.