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Finding the Fourth Proportional to 61,142.40, 91,627.20 and 37,699.20

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Solution

The fourth proportional to 61,142.40, 91,627.20 and 37,699.20 is: 56,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.40 : 91,627.20 = 37,699.20 : x
  2. Step 2: Convert to fraction form
    61,142.40/91,627.20 = 37,699.20/x
  3. Step 3: Cross multiply
    61,142.40x = 91,627.20 × 37,699.20
  4. Step 4: Simplify right side
    61,142.40x = 3,454,272,138.24
  5. Step 5: Solve for x
    x = 3,454,272,138.24/61,142.40
  6. Step 6: Final answer
    x = 56,495.53

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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.