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Finding the Fourth Proportional to 74,400.78, 102,602.79 and 48,862.14

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Solution

The fourth proportional to 74,400.78, 102,602.79 and 48,862.14 is: 67,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,400.78 : 102,602.79 = 48,862.14 : x
  2. Step 2: Convert to fraction form
    74,400.78/102,602.79 = 48,862.14/x
  3. Step 3: Cross multiply
    74,400.78x = 102,602.79 × 48,862.14
  4. Step 4: Simplify right side
    74,400.78x = 5,013,391,889.37
  5. Step 5: Solve for x
    x = 5,013,391,889.37/74,400.78
  6. Step 6: Final answer
    x = 67,383.59

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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.