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Finding the Fourth Proportional to 85,838.70, 118,456.83 and 47,598.23

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Solution

The fourth proportional to 85,838.70, 118,456.83 and 47,598.23 is: 65,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,838.70 : 118,456.83 = 47,598.23 : x
  2. Step 2: Convert to fraction form
    85,838.70/118,456.83 = 47,598.23/x
  3. Step 3: Cross multiply
    85,838.70x = 118,456.83 × 47,598.23
  4. Step 4: Simplify right side
    85,838.70x = 5,638,334,847.13
  5. Step 5: Solve for x
    x = 5,638,334,847.13/85,838.70
  6. Step 6: Final answer
    x = 65,685.23

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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.