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Finding the Fourth Proportional to 153,668.40, 211,987.02 and 102,693.66

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Solution

The fourth proportional to 153,668.40, 211,987.02 and 102,693.66 is: 141,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,668.40 : 211,987.02 = 102,693.66 : x
  2. Step 2: Convert to fraction form
    153,668.40/211,987.02 = 102,693.66/x
  3. Step 3: Cross multiply
    153,668.40x = 211,987.02 × 102,693.66
  4. Step 4: Simplify right side
    153,668.40x = 21,769,722,956.29
  5. Step 5: Solve for x
    x = 21,769,722,956.29/153,668.40
  6. Step 6: Final answer
    x = 141,666.88

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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.