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Finding the Fourth Proportional to 141,272, 212,005.20 and 58,166

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Solution

The fourth proportional to 141,272, 212,005.20 and 58,166 is: 87,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,272 : 212,005.20 = 58,166 : x
  2. Step 2: Convert to fraction form
    141,272/212,005.20 = 58,166/x
  3. Step 3: Cross multiply
    141,272x = 212,005.20 × 58,166
  4. Step 4: Simplify right side
    141,272x = 12,331,494,463.20
  5. Step 5: Solve for x
    x = 12,331,494,463.20/141,272
  6. Step 6: Final answer
    x = 87,289.02

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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.