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Finding the Fourth Proportional to 74,420.25, 102,701.78 and 42,599.40

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Solution

The fourth proportional to 74,420.25, 102,701.78 and 42,599.40 is: 58,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,420.25 : 102,701.78 = 42,599.40 : x
  2. Step 2: Convert to fraction form
    74,420.25/102,701.78 = 42,599.40/x
  3. Step 3: Cross multiply
    74,420.25x = 102,701.78 × 42,599.40
  4. Step 4: Simplify right side
    74,420.25x = 4,375,034,206.93
  5. Step 5: Solve for x
    x = 4,375,034,206.93/74,420.25
  6. Step 6: Final answer
    x = 58,788.22

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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.