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Finding the Fourth Proportional to 210,831.82, 316,372.47 and 77,804.71

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Solution

The fourth proportional to 210,831.82, 316,372.47 and 77,804.71 is: 116,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,831.82 : 316,372.47 = 77,804.71 : x
  2. Step 2: Convert to fraction form
    210,831.82/316,372.47 = 77,804.71/x
  3. Step 3: Cross multiply
    210,831.82x = 316,372.47 × 77,804.71
  4. Step 4: Simplify right side
    210,831.82x = 24,615,268,280.33
  5. Step 5: Solve for x
    x = 24,615,268,280.33/210,831.82
  6. Step 6: Final answer
    x = 116,753.10

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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.