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Finding the Fourth Proportional to 210,792.16, 290,889.39 and 115,298.02

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Solution

The fourth proportional to 210,792.16, 290,889.39 and 115,298.02 is: 159,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,792.16 : 290,889.39 = 115,298.02 : x
  2. Step 2: Convert to fraction form
    210,792.16/290,889.39 = 115,298.02/x
  3. Step 3: Cross multiply
    210,792.16x = 290,889.39 × 115,298.02
  4. Step 4: Simplify right side
    210,792.16x = 33,538,970,706.01
  5. Step 5: Solve for x
    x = 33,538,970,706.01/210,792.16
  6. Step 6: Final answer
    x = 159,109.19

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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.