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Finding the Fourth Proportional to 72,678.20, 109,020.90 and 37,686.20

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Solution

The fourth proportional to 72,678.20, 109,020.90 and 37,686.20 is: 56,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,678.20 : 109,020.90 = 37,686.20 : x
  2. Step 2: Convert to fraction form
    72,678.20/109,020.90 = 37,686.20/x
  3. Step 3: Cross multiply
    72,678.20x = 109,020.90 × 37,686.20
  4. Step 4: Simplify right side
    72,678.20x = 4,108,583,441.58
  5. Step 5: Solve for x
    x = 4,108,583,441.58/72,678.20
  6. Step 6: Final answer
    x = 56,531.17

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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.