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Finding the Fourth Proportional to 74,493.08, 102,802.20 and 40,503.52

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Solution

The fourth proportional to 74,493.08, 102,802.20 and 40,503.52 is: 55,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,493.08 : 102,802.20 = 40,503.52 : x
  2. Step 2: Convert to fraction form
    74,493.08/102,802.20 = 40,503.52/x
  3. Step 3: Cross multiply
    74,493.08x = 102,802.20 × 40,503.52
  4. Step 4: Simplify right side
    74,493.08x = 4,163,850,963.74
  5. Step 5: Solve for x
    x = 4,163,850,963.74/74,493.08
  6. Step 6: Final answer
    x = 55,895.81

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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.