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Finding the Fourth Proportional to 103,378.16, 155,091 and 29,506.16

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Solution

The fourth proportional to 103,378.16, 155,091 and 29,506.16 is: 44,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,378.16 : 155,091 = 29,506.16 : x
  2. Step 2: Convert to fraction form
    103,378.16/155,091 = 29,506.16/x
  3. Step 3: Cross multiply
    103,378.16x = 155,091 × 29,506.16
  4. Step 4: Simplify right side
    103,378.16x = 4,576,139,860.56
  5. Step 5: Solve for x
    x = 4,576,139,860.56/103,378.16
  6. Step 6: Final answer
    x = 44,266.02

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1.5x scale

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.