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Finding the Fourth Proportional to 85,695.84, 118,260.24 and 47,970.24

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Solution

The fourth proportional to 85,695.84, 118,260.24 and 47,970.24 is: 66,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,695.84 : 118,260.24 = 47,970.24 : x
  2. Step 2: Convert to fraction form
    85,695.84/118,260.24 = 47,970.24/x
  3. Step 3: Cross multiply
    85,695.84x = 118,260.24 × 47,970.24
  4. Step 4: Simplify right side
    85,695.84x = 5,672,972,095.26
  5. Step 5: Solve for x
    x = 5,672,972,095.26/85,695.84
  6. Step 6: Final answer
    x = 66,198.92

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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.