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Finding the Fourth Proportional to 72,978.08, 109,440.24 and 26,218.40

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Solution

The fourth proportional to 72,978.08, 109,440.24 and 26,218.40 is: 39,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,978.08 : 109,440.24 = 26,218.40 : x
  2. Step 2: Convert to fraction form
    72,978.08/109,440.24 = 26,218.40/x
  3. Step 3: Cross multiply
    72,978.08x = 109,440.24 × 26,218.40
  4. Step 4: Simplify right side
    72,978.08x = 2,869,347,988.42
  5. Step 5: Solve for x
    x = 2,869,347,988.42/72,978.08
  6. Step 6: Final answer
    x = 39,317.94

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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.