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Finding the Fourth Proportional to 68,670.76, 102,830.10 and 57,550

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Solution

The fourth proportional to 68,670.76, 102,830.10 and 57,550 is: 86,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,670.76 : 102,830.10 = 57,550 : x
  2. Step 2: Convert to fraction form
    68,670.76/102,830.10 = 57,550/x
  3. Step 3: Cross multiply
    68,670.76x = 102,830.10 × 57,550
  4. Step 4: Simplify right side
    68,670.76x = 5,917,872,255
  5. Step 5: Solve for x
    x = 5,917,872,255/68,670.76
  6. Step 6: Final answer
    x = 86,177.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.