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Finding the Fourth Proportional to 85,364.76, 117,814.51 and 47,646.84

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Solution

The fourth proportional to 85,364.76, 117,814.51 and 47,646.84 is: 65,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,364.76 : 117,814.51 = 47,646.84 : x
  2. Step 2: Convert to fraction form
    85,364.76/117,814.51 = 47,646.84/x
  3. Step 3: Cross multiply
    85,364.76x = 117,814.51 × 47,646.84
  4. Step 4: Simplify right side
    85,364.76x = 5,613,488,518.58
  5. Step 5: Solve for x
    x = 5,613,488,518.58/85,364.76
  6. Step 6: Final answer
    x = 65,758.85

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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.