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Finding the Fourth Proportional to 220,149, 303,809.40 and 119,547

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Solution

The fourth proportional to 220,149, 303,809.40 and 119,547 is: 164,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,149 : 303,809.40 = 119,547 : x
  2. Step 2: Convert to fraction form
    220,149/303,809.40 = 119,547/x
  3. Step 3: Cross multiply
    220,149x = 303,809.40 × 119,547
  4. Step 4: Simplify right side
    220,149x = 36,319,502,341.80
  5. Step 5: Solve for x
    x = 36,319,502,341.80/220,149
  6. Step 6: Final answer
    x = 164,976.91

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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.