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Finding the Fourth Proportional to 153,954, 212,457.16 and 83,298

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Solution

The fourth proportional to 153,954, 212,457.16 and 83,298 is: 114,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,954 : 212,457.16 = 83,298 : x
  2. Step 2: Convert to fraction form
    153,954/212,457.16 = 83,298/x
  3. Step 3: Cross multiply
    153,954x = 212,457.16 × 83,298
  4. Step 4: Simplify right side
    153,954x = 17,697,256,513.68
  5. Step 5: Solve for x
    x = 17,697,256,513.68/153,954
  6. Step 6: Final answer
    x = 114,951.59

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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.