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Finding the Fourth Proportional to 85,134, 117,485.73 and 47,409.06

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Solution

The fourth proportional to 85,134, 117,485.73 and 47,409.06 is: 65,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,134 : 117,485.73 = 47,409.06 : x
  2. Step 2: Convert to fraction form
    85,134/117,485.73 = 47,409.06/x
  3. Step 3: Cross multiply
    85,134x = 117,485.73 × 47,409.06
  4. Step 4: Simplify right side
    85,134x = 5,569,888,022.71
  5. Step 5: Solve for x
    x = 5,569,888,022.71/85,134
  6. Step 6: Final answer
    x = 65,424.95

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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.