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Finding the Fourth Proportional to 74,775.78, 103,192.26 and 42,505.28

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Solution

The fourth proportional to 74,775.78, 103,192.26 and 42,505.28 is: 58,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,775.78 : 103,192.26 = 42,505.28 : x
  2. Step 2: Convert to fraction form
    74,775.78/103,192.26 = 42,505.28/x
  3. Step 3: Cross multiply
    74,775.78x = 103,192.26 × 42,505.28
  4. Step 4: Simplify right side
    74,775.78x = 4,386,215,905.13
  5. Step 5: Solve for x
    x = 4,386,215,905.13/74,775.78
  6. Step 6: Final answer
    x = 58,658.24

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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.