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Finding the Fourth Proportional to 103,438.60, 155,182.16 and 33,315.28

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Solution

The fourth proportional to 103,438.60, 155,182.16 and 33,315.28 is: 49,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.60 : 155,182.16 = 33,315.28 : x
  2. Step 2: Convert to fraction form
    103,438.60/155,182.16 = 33,315.28/x
  3. Step 3: Cross multiply
    103,438.60x = 155,182.16 × 33,315.28
  4. Step 4: Simplify right side
    103,438.60x = 5,169,937,111.40
  5. Step 5: Solve for x
    x = 5,169,937,111.40/103,438.60
  6. Step 6: Final answer
    x = 49,980.73

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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.