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Finding the Fourth Proportional to 85,235.25, 117,624.65 and 47,509.50

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Solution

The fourth proportional to 85,235.25, 117,624.65 and 47,509.50 is: 65,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,235.25 : 117,624.65 = 47,509.50 : x
  2. Step 2: Convert to fraction form
    85,235.25/117,624.65 = 47,509.50/x
  3. Step 3: Cross multiply
    85,235.25x = 117,624.65 × 47,509.50
  4. Step 4: Simplify right side
    85,235.25x = 5,588,288,071.63
  5. Step 5: Solve for x
    x = 5,588,288,071.63/85,235.25
  6. Step 6: Final answer
    x = 65,563.11

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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.