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Finding the Fourth Proportional to 157,347.28, 235,969.88 and 52,138

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Solution

The fourth proportional to 157,347.28, 235,969.88 and 52,138 is: 78,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,347.28 : 235,969.88 = 52,138 : x
  2. Step 2: Convert to fraction form
    157,347.28/235,969.88 = 52,138/x
  3. Step 3: Cross multiply
    157,347.28x = 235,969.88 × 52,138
  4. Step 4: Simplify right side
    157,347.28x = 12,302,997,603.44
  5. Step 5: Solve for x
    x = 12,302,997,603.44/157,347.28
  6. Step 6: Final answer
    x = 78,190.09

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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.