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Finding the Fourth Proportional to 85,306.64, 117,723.32 and 47,583.32

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Solution

The fourth proportional to 85,306.64, 117,723.32 and 47,583.32 is: 65,665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,306.64 : 117,723.32 = 47,583.32 : x
  2. Step 2: Convert to fraction form
    85,306.64/117,723.32 = 47,583.32/x
  3. Step 3: Cross multiply
    85,306.64x = 117,723.32 × 47,583.32
  4. Step 4: Simplify right side
    85,306.64x = 5,601,666,407.02
  5. Step 5: Solve for x
    x = 5,601,666,407.02/85,306.64
  6. Step 6: Final answer
    x = 65,665.07

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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.