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Finding the Fourth Proportional to 72,970.74, 109,424.52 and 30,869.64

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Solution

The fourth proportional to 72,970.74, 109,424.52 and 30,869.64 is: 46,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,970.74 : 109,424.52 = 30,869.64 : x
  2. Step 2: Convert to fraction form
    72,970.74/109,424.52 = 30,869.64/x
  3. Step 3: Cross multiply
    72,970.74x = 109,424.52 × 30,869.64
  4. Step 4: Simplify right side
    72,970.74x = 3,377,895,539.57
  5. Step 5: Solve for x
    x = 3,377,895,539.57/72,970.74
  6. Step 6: Final answer
    x = 46,291.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.