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Finding the Fourth Proportional to 85,382.07, 117,829.11 and 47,141.49

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Solution

The fourth proportional to 85,382.07, 117,829.11 and 47,141.49 is: 65,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382.07 : 117,829.11 = 47,141.49 : x
  2. Step 2: Convert to fraction form
    85,382.07/117,829.11 = 47,141.49/x
  3. Step 3: Cross multiply
    85,382.07x = 117,829.11 × 47,141.49
  4. Step 4: Simplify right side
    85,382.07x = 5,554,639,810.77
  5. Step 5: Solve for x
    x = 5,554,639,810.77/85,382.07
  6. Step 6: Final answer
    x = 65,056.28

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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.