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Finding the Fourth Proportional to 141,390.76, 212,030.30 and 57,135

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Solution

The fourth proportional to 141,390.76, 212,030.30 and 57,135 is: 85,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,390.76 : 212,030.30 = 57,135 : x
  2. Step 2: Convert to fraction form
    141,390.76/212,030.30 = 57,135/x
  3. Step 3: Cross multiply
    141,390.76x = 212,030.30 × 57,135
  4. Step 4: Simplify right side
    141,390.76x = 12,114,351,190.50
  5. Step 5: Solve for x
    x = 12,114,351,190.50/141,390.76
  6. Step 6: Final answer
    x = 85,679.94

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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.