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Finding the Fourth Proportional to 85,319, 117,725.64 and 49,500.80

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Solution

The fourth proportional to 85,319, 117,725.64 and 49,500.80 is: 68,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,319 : 117,725.64 = 49,500.80 : x
  2. Step 2: Convert to fraction form
    85,319/117,725.64 = 49,500.80/x
  3. Step 3: Cross multiply
    85,319x = 117,725.64 × 49,500.80
  4. Step 4: Simplify right side
    85,319x = 5,827,513,360.51
  5. Step 5: Solve for x
    x = 5,827,513,360.51/85,319
  6. Step 6: Final answer
    x = 68,302.64

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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.