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Finding the Fourth Proportional to 85,210, 117,588.72 and 47,484.16

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Solution

The fourth proportional to 85,210, 117,588.72 and 47,484.16 is: 65,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,210 : 117,588.72 = 47,484.16 : x
  2. Step 2: Convert to fraction form
    85,210/117,588.72 = 47,484.16/x
  3. Step 3: Cross multiply
    85,210x = 117,588.72 × 47,484.16
  4. Step 4: Simplify right side
    85,210x = 5,583,601,594.68
  5. Step 5: Solve for x
    x = 5,583,601,594.68/85,210
  6. Step 6: Final answer
    x = 65,527.54

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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.