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Finding the Fourth Proportional to 219,553.12, 302,983.50 and 118,951.12

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Solution

The fourth proportional to 219,553.12, 302,983.50 and 118,951.12 is: 164,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,553.12 : 302,983.50 = 118,951.12 : x
  2. Step 2: Convert to fraction form
    219,553.12/302,983.50 = 118,951.12/x
  3. Step 3: Cross multiply
    219,553.12x = 302,983.50 × 118,951.12
  4. Step 4: Simplify right side
    219,553.12x = 36,040,226,666.52
  5. Step 5: Solve for x
    x = 36,040,226,666.52/219,553.12
  6. Step 6: Final answer
    x = 164,152.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.