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Finding the Fourth Proportional to 147,239.64, 220,903.74 and 52,457.42

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Solution

The fourth proportional to 147,239.64, 220,903.74 and 52,457.42 is: 78,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,239.64 : 220,903.74 = 52,457.42 : x
  2. Step 2: Convert to fraction form
    147,239.64/220,903.74 = 52,457.42/x
  3. Step 3: Cross multiply
    147,239.64x = 220,903.74 × 52,457.42
  4. Step 4: Simplify right side
    147,239.64x = 11,588,040,821.01
  5. Step 5: Solve for x
    x = 11,588,040,821.01/147,239.64
  6. Step 6: Final answer
    x = 78,701.91

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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.