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Finding the Fourth Proportional to 218,762.10, 301,897.97 and 123,263.54

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Solution

The fourth proportional to 218,762.10, 301,897.97 and 123,263.54 is: 170,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,762.10 : 301,897.97 = 123,263.54 : x
  2. Step 2: Convert to fraction form
    218,762.10/301,897.97 = 123,263.54/x
  3. Step 3: Cross multiply
    218,762.10x = 301,897.97 × 123,263.54
  4. Step 4: Simplify right side
    218,762.10x = 37,213,012,501.01
  5. Step 5: Solve for x
    x = 37,213,012,501.01/218,762.10
  6. Step 6: Final answer
    x = 170,107.22

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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.