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Finding the Fourth Proportional to 56,552.68, 78,042.54 and 31,402

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Solution

The fourth proportional to 56,552.68, 78,042.54 and 31,402 is: 43,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,552.68 : 78,042.54 = 31,402 : x
  2. Step 2: Convert to fraction form
    56,552.68/78,042.54 = 31,402/x
  3. Step 3: Cross multiply
    56,552.68x = 78,042.54 × 31,402
  4. Step 4: Simplify right side
    56,552.68x = 2,450,691,841.08
  5. Step 5: Solve for x
    x = 2,450,691,841.08/56,552.68
  6. Step 6: Final answer
    x = 43,334.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.