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Finding the Fourth Proportional to 74,104.48, 102,254.66 and 42,271.48

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Solution

The fourth proportional to 74,104.48, 102,254.66 and 42,271.48 is: 58,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,104.48 : 102,254.66 = 42,271.48 : x
  2. Step 2: Convert to fraction form
    74,104.48/102,254.66 = 42,271.48/x
  3. Step 3: Cross multiply
    74,104.48x = 102,254.66 × 42,271.48
  4. Step 4: Simplify right side
    74,104.48x = 4,322,455,815.10
  5. Step 5: Solve for x
    x = 4,322,455,815.10/74,104.48
  6. Step 6: Final answer
    x = 58,329.21

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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.