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Finding the Fourth Proportional to 74,952.81, 103,428.59 and 42,678.77

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Solution

The fourth proportional to 74,952.81, 103,428.59 and 42,678.77 is: 58,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,952.81 : 103,428.59 = 42,678.77 : x
  2. Step 2: Convert to fraction form
    74,952.81/103,428.59 = 42,678.77/x
  3. Step 3: Cross multiply
    74,952.81x = 103,428.59 × 42,678.77
  4. Step 4: Simplify right side
    74,952.81x = 4,414,204,273.50
  5. Step 5: Solve for x
    x = 4,414,204,273.50/74,952.81
  6. Step 6: Final answer
    x = 58,893.11

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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.