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Finding the Fourth Proportional to 85,358.94, 117,784.47 and 47,634.78

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Solution

The fourth proportional to 85,358.94, 117,784.47 and 47,634.78 is: 65,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,358.94 : 117,784.47 = 47,634.78 : x
  2. Step 2: Convert to fraction form
    85,358.94/117,784.47 = 47,634.78/x
  3. Step 3: Cross multiply
    85,358.94x = 117,784.47 × 47,634.78
  4. Step 4: Simplify right side
    85,358.94x = 5,610,637,315.87
  5. Step 5: Solve for x
    x = 5,610,637,315.87/85,358.94
  6. Step 6: Final answer
    x = 65,729.93

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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.