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Finding the Fourth Proportional to 85,506.04, 117,997.62 and 47,780.32

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Solution

The fourth proportional to 85,506.04, 117,997.62 and 47,780.32 is: 65,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,506.04 : 117,997.62 = 47,780.32 : x
  2. Step 2: Convert to fraction form
    85,506.04/117,997.62 = 47,780.32/x
  3. Step 3: Cross multiply
    85,506.04x = 117,997.62 × 47,780.32
  4. Step 4: Simplify right side
    85,506.04x = 5,637,964,042.84
  5. Step 5: Solve for x
    x = 5,637,964,042.84/85,506.04
  6. Step 6: Final answer
    x = 65,936.44

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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.