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Finding the Fourth Proportional to 103,138.65, 154,708.08 and 28,259.40

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Solution

The fourth proportional to 103,138.65, 154,708.08 and 28,259.40 is: 42,389.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,138.65 : 154,708.08 = 28,259.40 : x
  2. Step 2: Convert to fraction form
    103,138.65/154,708.08 = 28,259.40/x
  3. Step 3: Cross multiply
    103,138.65x = 154,708.08 × 28,259.40
  4. Step 4: Simplify right side
    103,138.65x = 4,371,957,515.95
  5. Step 5: Solve for x
    x = 4,371,957,515.95/103,138.65
  6. Step 6: Final answer
    x = 42,389.13

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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.