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Finding the Fourth Proportional to 145,615.53, 218,334.09 and 56,765.24

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Solution

The fourth proportional to 145,615.53, 218,334.09 and 56,765.24 is: 85,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,615.53 : 218,334.09 = 56,765.24 : x
  2. Step 2: Convert to fraction form
    145,615.53/218,334.09 = 56,765.24/x
  3. Step 3: Cross multiply
    145,615.53x = 218,334.09 × 56,765.24
  4. Step 4: Simplify right side
    145,615.53x = 12,393,787,019.03
  5. Step 5: Solve for x
    x = 12,393,787,019.03/145,615.53
  6. Step 6: Final answer
    x = 85,113.09

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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.