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Finding the Fourth Proportional to 103,509.85, 155,154.04 and 53,539.64

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Solution

The fourth proportional to 103,509.85, 155,154.04 and 53,539.64 is: 80,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,509.85 : 155,154.04 = 53,539.64 : x
  2. Step 2: Convert to fraction form
    103,509.85/155,154.04 = 53,539.64/x
  3. Step 3: Cross multiply
    103,509.85x = 155,154.04 × 53,539.64
  4. Step 4: Simplify right side
    103,509.85x = 8,306,890,536.53
  5. Step 5: Solve for x
    x = 8,306,890,536.53/103,509.85
  6. Step 6: Final answer
    x = 80,252.18

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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.