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Finding the Fourth Proportional to 210,937.20, 316,243.80 and 105,831.60

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Solution

The fourth proportional to 210,937.20, 316,243.80 and 105,831.60 is: 158,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,937.20 : 316,243.80 = 105,831.60 : x
  2. Step 2: Convert to fraction form
    210,937.20/316,243.80 = 105,831.60/x
  3. Step 3: Cross multiply
    210,937.20x = 316,243.80 × 105,831.60
  4. Step 4: Simplify right side
    210,937.20x = 33,468,587,344.08
  5. Step 5: Solve for x
    x = 33,468,587,344.08/210,937.20
  6. Step 6: Final answer
    x = 158,666.12

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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.