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Finding the Fourth Proportional to 230,559.66, 345,892.95 and 90,319.50

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Solution

The fourth proportional to 230,559.66, 345,892.95 and 90,319.50 is: 135,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,559.66 : 345,892.95 = 90,319.50 : x
  2. Step 2: Convert to fraction form
    230,559.66/345,892.95 = 90,319.50/x
  3. Step 3: Cross multiply
    230,559.66x = 345,892.95 × 90,319.50
  4. Step 4: Simplify right side
    230,559.66x = 31,240,878,297.53
  5. Step 5: Solve for x
    x = 31,240,878,297.53/230,559.66
  6. Step 6: Final answer
    x = 135,500.19

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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.