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Finding the Fourth Proportional to 210,817.71, 290,827.94 and 130,216.23

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Solution

The fourth proportional to 210,817.71, 290,827.94 and 130,216.23 is: 179,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,817.71 : 290,827.94 = 130,216.23 : x
  2. Step 2: Convert to fraction form
    210,817.71/290,827.94 = 130,216.23/x
  3. Step 3: Cross multiply
    210,817.71x = 290,827.94 × 130,216.23
  4. Step 4: Simplify right side
    210,817.71x = 37,870,517,274.39
  5. Step 5: Solve for x
    x = 37,870,517,274.39/210,817.71
  6. Step 6: Final answer
    x = 179,636.32

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1.5x scale

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.