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Finding the Fourth Proportional to 76,328.91, 114,368.80 and 38,837.40

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Solution

The fourth proportional to 76,328.91, 114,368.80 and 38,837.40 is: 58,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,328.91 : 114,368.80 = 38,837.40 : x
  2. Step 2: Convert to fraction form
    76,328.91/114,368.80 = 38,837.40/x
  3. Step 3: Cross multiply
    76,328.91x = 114,368.80 × 38,837.40
  4. Step 4: Simplify right side
    76,328.91x = 4,441,787,343.42
  5. Step 5: Solve for x
    x = 4,441,787,343.42/76,328.91
  6. Step 6: Final answer
    x = 58,192.73

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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.