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Finding the Fourth Proportional to 153,894.99, 212,348.78 and 85,908.45

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Solution

The fourth proportional to 153,894.99, 212,348.78 and 85,908.45 is: 118,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,894.99 : 212,348.78 = 85,908.45 : x
  2. Step 2: Convert to fraction form
    153,894.99/212,348.78 = 85,908.45/x
  3. Step 3: Cross multiply
    153,894.99x = 212,348.78 × 85,908.45
  4. Step 4: Simplify right side
    153,894.99x = 18,242,554,119.65
  5. Step 5: Solve for x
    x = 18,242,554,119.65/153,894.99
  6. Step 6: Final answer
    x = 118,538.97

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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.