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Finding the Fourth Proportional to 85,113.76, 117,460.62 and 47,388

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Solution

The fourth proportional to 85,113.76, 117,460.62 and 47,388 is: 65,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,113.76 : 117,460.62 = 47,388 : x
  2. Step 2: Convert to fraction form
    85,113.76/117,460.62 = 47,388/x
  3. Step 3: Cross multiply
    85,113.76x = 117,460.62 × 47,388
  4. Step 4: Simplify right side
    85,113.76x = 5,566,223,860.56
  5. Step 5: Solve for x
    x = 5,566,223,860.56/85,113.76
  6. Step 6: Final answer
    x = 65,397.46

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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.