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Finding the Fourth Proportional to 76,386.88, 114,583.42 and 36,385.30

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Solution

The fourth proportional to 76,386.88, 114,583.42 and 36,385.30 is: 54,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,386.88 : 114,583.42 = 36,385.30 : x
  2. Step 2: Convert to fraction form
    76,386.88/114,583.42 = 36,385.30/x
  3. Step 3: Cross multiply
    76,386.88x = 114,583.42 × 36,385.30
  4. Step 4: Simplify right side
    76,386.88x = 4,169,151,538.81
  5. Step 5: Solve for x
    x = 4,169,151,538.81/76,386.88
  6. Step 6: Final answer
    x = 54,579.42

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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.