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Finding the Fourth Proportional to 85,350, 117,782.76 and 47,624.28

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Solution

The fourth proportional to 85,350, 117,782.76 and 47,624.28 is: 65,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,350 : 117,782.76 = 47,624.28 : x
  2. Step 2: Convert to fraction form
    85,350/117,782.76 = 47,624.28/x
  3. Step 3: Cross multiply
    85,350x = 117,782.76 × 47,624.28
  4. Step 4: Simplify right side
    85,350x = 5,609,319,141.41
  5. Step 5: Solve for x
    x = 5,609,319,141.41/85,350
  6. Step 6: Final answer
    x = 65,721.37

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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.