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Finding the Fourth Proportional to 72,972.88, 109,261.90 and 37,838.68

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Solution

The fourth proportional to 72,972.88, 109,261.90 and 37,838.68 is: 56,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,972.88 : 109,261.90 = 37,838.68 : x
  2. Step 2: Convert to fraction form
    72,972.88/109,261.90 = 37,838.68/x
  3. Step 3: Cross multiply
    72,972.88x = 109,261.90 × 37,838.68
  4. Step 4: Simplify right side
    72,972.88x = 4,134,326,070.29
  5. Step 5: Solve for x
    x = 4,134,326,070.29/72,972.88
  6. Step 6: Final answer
    x = 56,655.65

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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.