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Finding the Fourth Proportional to 72,926.31, 109,389.47 and 23,678.31

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Solution

The fourth proportional to 72,926.31, 109,389.47 and 23,678.31 is: 35,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,926.31 : 109,389.47 = 23,678.31 : x
  2. Step 2: Convert to fraction form
    72,926.31/109,389.47 = 23,678.31/x
  3. Step 3: Cross multiply
    72,926.31x = 109,389.47 × 23,678.31
  4. Step 4: Simplify right side
    72,926.31x = 2,590,157,781.40
  5. Step 5: Solve for x
    x = 2,590,157,781.40/72,926.31
  6. Step 6: Final answer
    x = 35,517.47

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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.