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Finding the Fourth Proportional to 43,471.52, 65,210.06 and 12,309.20

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Solution

The fourth proportional to 43,471.52, 65,210.06 and 12,309.20 is: 18,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,471.52 : 65,210.06 = 12,309.20 : x
  2. Step 2: Convert to fraction form
    43,471.52/65,210.06 = 12,309.20/x
  3. Step 3: Cross multiply
    43,471.52x = 65,210.06 × 12,309.20
  4. Step 4: Simplify right side
    43,471.52x = 802,683,670.55
  5. Step 5: Solve for x
    x = 802,683,670.55/43,471.52
  6. Step 6: Final answer
    x = 18,464.59

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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.