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Finding the Fourth Proportional to 76,308.48, 114,495.60 and 36,895.20

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Solution

The fourth proportional to 76,308.48, 114,495.60 and 36,895.20 is: 55,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308.48 : 114,495.60 = 36,895.20 : x
  2. Step 2: Convert to fraction form
    76,308.48/114,495.60 = 36,895.20/x
  3. Step 3: Cross multiply
    76,308.48x = 114,495.60 × 36,895.20
  4. Step 4: Simplify right side
    76,308.48x = 4,224,338,061.12
  5. Step 5: Solve for x
    x = 4,224,338,061.12/76,308.48
  6. Step 6: Final answer
    x = 55,358.70

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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.