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Finding the Fourth Proportional to 103,429.30, 155,180.40 and 99,784.30

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Solution

The fourth proportional to 103,429.30, 155,180.40 and 99,784.30 is: 149,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,429.30 : 155,180.40 = 99,784.30 : x
  2. Step 2: Convert to fraction form
    103,429.30/155,180.40 = 99,784.30/x
  3. Step 3: Cross multiply
    103,429.30x = 155,180.40 × 99,784.30
  4. Step 4: Simplify right side
    103,429.30x = 15,484,567,587.72
  5. Step 5: Solve for x
    x = 15,484,567,587.72/103,429.30
  6. Step 6: Final answer
    x = 149,711.62

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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.