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Finding the Fourth Proportional to 135,419.04, 202,720.32 and 72,900

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Solution

The fourth proportional to 135,419.04, 202,720.32 and 72,900 is: 109,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,419.04 : 202,720.32 = 72,900 : x
  2. Step 2: Convert to fraction form
    135,419.04/202,720.32 = 72,900/x
  3. Step 3: Cross multiply
    135,419.04x = 202,720.32 × 72,900
  4. Step 4: Simplify right side
    135,419.04x = 14,778,311,328
  5. Step 5: Solve for x
    x = 14,778,311,328/135,419.04
  6. Step 6: Final answer
    x = 109,130.23

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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.