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Finding the Fourth Proportional to 142,392.58, 213,199.80 and 102,451.48

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Solution

The fourth proportional to 142,392.58, 213,199.80 and 102,451.48 is: 153,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,392.58 : 213,199.80 = 102,451.48 : x
  2. Step 2: Convert to fraction form
    142,392.58/213,199.80 = 102,451.48/x
  3. Step 3: Cross multiply
    142,392.58x = 213,199.80 × 102,451.48
  4. Step 4: Simplify right side
    142,392.58x = 21,842,635,327.76
  5. Step 5: Solve for x
    x = 21,842,635,327.76/142,392.58
  6. Step 6: Final answer
    x = 153,397.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.