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Finding the Fourth Proportional to 76,349.68, 114,430.56 and 36,389.68

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Solution

The fourth proportional to 76,349.68, 114,430.56 and 36,389.68 is: 54,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,349.68 : 114,430.56 = 36,389.68 : x
  2. Step 2: Convert to fraction form
    76,349.68/114,430.56 = 36,389.68/x
  3. Step 3: Cross multiply
    76,349.68x = 114,430.56 × 36,389.68
  4. Step 4: Simplify right side
    76,349.68x = 4,164,091,460.62
  5. Step 5: Solve for x
    x = 4,164,091,460.62/76,349.68
  6. Step 6: Final answer
    x = 54,539.74

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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.