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Finding the Fourth Proportional to 85,187.60, 117,548.52 and 47,448.08

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Solution

The fourth proportional to 85,187.60, 117,548.52 and 47,448.08 is: 65,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,187.60 : 117,548.52 = 47,448.08 : x
  2. Step 2: Convert to fraction form
    85,187.60/117,548.52 = 47,448.08/x
  3. Step 3: Cross multiply
    85,187.60x = 117,548.52 × 47,448.08
  4. Step 4: Simplify right side
    85,187.60x = 5,577,451,580.84
  5. Step 5: Solve for x
    x = 5,577,451,580.84/85,187.60
  6. Step 6: Final answer
    x = 65,472.58

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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.