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Finding the Fourth Proportional to 153,668.69, 212,061.90 and 85,686.51

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Solution

The fourth proportional to 153,668.69, 212,061.90 and 85,686.51 is: 118,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,668.69 : 212,061.90 = 85,686.51 : x
  2. Step 2: Convert to fraction form
    153,668.69/212,061.90 = 85,686.51/x
  3. Step 3: Cross multiply
    153,668.69x = 212,061.90 × 85,686.51
  4. Step 4: Simplify right side
    153,668.69x = 18,170,843,556.69
  5. Step 5: Solve for x
    x = 18,170,843,556.69/153,668.69
  6. Step 6: Final answer
    x = 118,246.88

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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.