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Finding the Fourth Proportional to 160,434, 220,904.40 and 142,497.84

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Solution

The fourth proportional to 160,434, 220,904.40 and 142,497.84 is: 196,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,434 : 220,904.40 = 142,497.84 : x
  2. Step 2: Convert to fraction form
    160,434/220,904.40 = 142,497.84/x
  3. Step 3: Cross multiply
    160,434x = 220,904.40 × 142,497.84
  4. Step 4: Simplify right side
    160,434x = 31,478,399,846.50
  5. Step 5: Solve for x
    x = 31,478,399,846.50/160,434
  6. Step 6: Final answer
    x = 196,207.79

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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.