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Finding the Fourth Proportional to 210,873.47, 316,309.94 and 68,718.51

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Solution

The fourth proportional to 210,873.47, 316,309.94 and 68,718.51 is: 103,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,873.47 : 316,309.94 = 68,718.51 : x
  2. Step 2: Convert to fraction form
    210,873.47/316,309.94 = 68,718.51/x
  3. Step 3: Cross multiply
    210,873.47x = 316,309.94 × 68,718.51
  4. Step 4: Simplify right side
    210,873.47x = 21,736,347,431.40
  5. Step 5: Solve for x
    x = 21,736,347,431.40/210,873.47
  6. Step 6: Final answer
    x = 103,077.68

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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.