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Finding the Fourth Proportional to 219,967, 303,554.46 and 119,365

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Solution

The fourth proportional to 219,967, 303,554.46 and 119,365 is: 164,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,967 : 303,554.46 = 119,365 : x
  2. Step 2: Convert to fraction form
    219,967/303,554.46 = 119,365/x
  3. Step 3: Cross multiply
    219,967x = 303,554.46 × 119,365
  4. Step 4: Simplify right side
    219,967x = 36,233,778,117.90
  5. Step 5: Solve for x
    x = 36,233,778,117.90/219,967
  6. Step 6: Final answer
    x = 164,723.70

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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.