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Finding the Fourth Proportional to 85,497.51, 117,984.15 and 47,771.76

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Solution

The fourth proportional to 85,497.51, 117,984.15 and 47,771.76 is: 65,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,497.51 : 117,984.15 = 47,771.76 : x
  2. Step 2: Convert to fraction form
    85,497.51/117,984.15 = 47,771.76/x
  3. Step 3: Cross multiply
    85,497.51x = 117,984.15 × 47,771.76
  4. Step 4: Simplify right side
    85,497.51x = 5,636,310,497.60
  5. Step 5: Solve for x
    x = 5,636,310,497.60/85,497.51
  6. Step 6: Final answer
    x = 65,923.68

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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.