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Finding the Fourth Proportional to 42,656, 63,857.60 and 31,612.24

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Solution

The fourth proportional to 42,656, 63,857.60 and 31,612.24 is: 47,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,656 : 63,857.60 = 31,612.24 : x
  2. Step 2: Convert to fraction form
    42,656/63,857.60 = 31,612.24/x
  3. Step 3: Cross multiply
    42,656x = 63,857.60 × 31,612.24
  4. Step 4: Simplify right side
    42,656x = 2,018,681,299.67
  5. Step 5: Solve for x
    x = 2,018,681,299.67/42,656
  6. Step 6: Final answer
    x = 47,324.67

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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.