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Finding the Fourth Proportional to 210,493, 290,480.34 and 121,069

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Solution

The fourth proportional to 210,493, 290,480.34 and 121,069 is: 167,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,493 : 290,480.34 = 121,069 : x
  2. Step 2: Convert to fraction form
    210,493/290,480.34 = 121,069/x
  3. Step 3: Cross multiply
    210,493x = 290,480.34 × 121,069
  4. Step 4: Simplify right side
    210,493x = 35,168,164,283.46
  5. Step 5: Solve for x
    x = 35,168,164,283.46/210,493
  6. Step 6: Final answer
    x = 167,075.22

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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.