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Finding the Fourth Proportional to 72,972.90, 109,430.06 and 35,522.06

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Solution

The fourth proportional to 72,972.90, 109,430.06 and 35,522.06 is: 53,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,972.90 : 109,430.06 = 35,522.06 : x
  2. Step 2: Convert to fraction form
    72,972.90/109,430.06 = 35,522.06/x
  3. Step 3: Cross multiply
    72,972.90x = 109,430.06 × 35,522.06
  4. Step 4: Simplify right side
    72,972.90x = 3,887,180,432.36
  5. Step 5: Solve for x
    x = 3,887,180,432.36/72,972.90
  6. Step 6: Final answer
    x = 53,268.82

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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.