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Finding the Fourth Proportional to 85,424.98, 117,886.04 and 47,699.24

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Solution

The fourth proportional to 85,424.98, 117,886.04 and 47,699.24 is: 65,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,424.98 : 117,886.04 = 47,699.24 : x
  2. Step 2: Convert to fraction form
    85,424.98/117,886.04 = 47,699.24/x
  3. Step 3: Cross multiply
    85,424.98x = 117,886.04 × 47,699.24
  4. Step 4: Simplify right side
    85,424.98x = 5,623,074,514.61
  5. Step 5: Solve for x
    x = 5,623,074,514.61/85,424.98
  6. Step 6: Final answer
    x = 65,824.71

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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.