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Finding the Fourth Proportional to 85,473, 117,952.80 and 47,748.12

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Solution

The fourth proportional to 85,473, 117,952.80 and 47,748.12 is: 65,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,473 : 117,952.80 = 47,748.12 : x
  2. Step 2: Convert to fraction form
    85,473/117,952.80 = 47,748.12/x
  3. Step 3: Cross multiply
    85,473x = 117,952.80 × 47,748.12
  4. Step 4: Simplify right side
    85,473x = 5,632,024,448.74
  5. Step 5: Solve for x
    x = 5,632,024,448.74/85,473
  6. Step 6: Final answer
    x = 65,892.44

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1.5x scale

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.