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Finding the Fourth Proportional to 219,133.16, 302,418 and 123,605

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Solution

The fourth proportional to 219,133.16, 302,418 and 123,605 is: 170,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,133.16 : 302,418 = 123,605 : x
  2. Step 2: Convert to fraction form
    219,133.16/302,418 = 123,605/x
  3. Step 3: Cross multiply
    219,133.16x = 302,418 × 123,605
  4. Step 4: Simplify right side
    219,133.16x = 37,380,376,890
  5. Step 5: Solve for x
    x = 37,380,376,890/219,133.16
  6. Step 6: Final answer
    x = 170,582.93

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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.