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Finding the Fourth Proportional to 76,420.40, 114,533.40 and 36,892.40

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Solution

The fourth proportional to 76,420.40, 114,533.40 and 36,892.40 is: 55,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,420.40 : 114,533.40 = 36,892.40 : x
  2. Step 2: Convert to fraction form
    76,420.40/114,533.40 = 36,892.40/x
  3. Step 3: Cross multiply
    76,420.40x = 114,533.40 × 36,892.40
  4. Step 4: Simplify right side
    76,420.40x = 4,225,412,006.16
  5. Step 5: Solve for x
    x = 4,225,412,006.16/76,420.40
  6. Step 6: Final answer
    x = 55,291.68

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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.