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Finding the Fourth Proportional to 103,518, 155,184.81 and 40,323.34

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Solution

The fourth proportional to 103,518, 155,184.81 and 40,323.34 is: 60,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,518 : 155,184.81 = 40,323.34 : x
  2. Step 2: Convert to fraction form
    103,518/155,184.81 = 40,323.34/x
  3. Step 3: Cross multiply
    103,518x = 155,184.81 × 40,323.34
  4. Step 4: Simplify right side
    103,518x = 6,257,570,562.51
  5. Step 5: Solve for x
    x = 6,257,570,562.51/103,518
  6. Step 6: Final answer
    x = 60,449.11

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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.