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Finding the Fourth Proportional to 153,238, 229,813.44 and 64,511.68

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Solution

The fourth proportional to 153,238, 229,813.44 and 64,511.68 is: 96,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,238 : 229,813.44 = 64,511.68 : x
  2. Step 2: Convert to fraction form
    153,238/229,813.44 = 64,511.68/x
  3. Step 3: Cross multiply
    153,238x = 229,813.44 × 64,511.68
  4. Step 4: Simplify right side
    153,238x = 14,825,651,100.98
  5. Step 5: Solve for x
    x = 14,825,651,100.98/153,238
  6. Step 6: Final answer
    x = 96,749.18

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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.