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Finding the Fourth Proportional to 252,457.34, 378,643.81 and 83,995.46

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Solution

The fourth proportional to 252,457.34, 378,643.81 and 83,995.46 is: 125,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,457.34 : 378,643.81 = 83,995.46 : x
  2. Step 2: Convert to fraction form
    252,457.34/378,643.81 = 83,995.46/x
  3. Step 3: Cross multiply
    252,457.34x = 378,643.81 × 83,995.46
  4. Step 4: Simplify right side
    252,457.34x = 31,804,360,577.13
  5. Step 5: Solve for x
    x = 31,804,360,577.13/252,457.34
  6. Step 6: Final answer
    x = 125,979.15

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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.