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Finding the Fourth Proportional to 75,478.16, 104,160.36 and 47,200.40

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Solution

The fourth proportional to 75,478.16, 104,160.36 and 47,200.40 is: 65,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.16 : 104,160.36 = 47,200.40 : x
  2. Step 2: Convert to fraction form
    75,478.16/104,160.36 = 47,200.40/x
  3. Step 3: Cross multiply
    75,478.16x = 104,160.36 × 47,200.40
  4. Step 4: Simplify right side
    75,478.16x = 4,916,410,656.14
  5. Step 5: Solve for x
    x = 4,916,410,656.14/75,478.16
  6. Step 6: Final answer
    x = 65,136.86

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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.