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Finding the Fourth Proportional to 207,034, 285,923.76 and 142,670.62

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Solution

The fourth proportional to 207,034, 285,923.76 and 142,670.62 is: 197,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,034 : 285,923.76 = 142,670.62 : x
  2. Step 2: Convert to fraction form
    207,034/285,923.76 = 142,670.62/x
  3. Step 3: Cross multiply
    207,034x = 285,923.76 × 142,670.62
  4. Step 4: Simplify right side
    207,034x = 40,792,920,111.93
  5. Step 5: Solve for x
    x = 40,792,920,111.93/207,034
  6. Step 6: Final answer
    x = 197,034.88

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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.