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Finding the Fourth Proportional to 210,444, 290,421.36 and 121,020

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Solution

The fourth proportional to 210,444, 290,421.36 and 121,020 is: 167,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,444 : 290,421.36 = 121,020 : x
  2. Step 2: Convert to fraction form
    210,444/290,421.36 = 121,020/x
  3. Step 3: Cross multiply
    210,444x = 290,421.36 × 121,020
  4. Step 4: Simplify right side
    210,444x = 35,146,792,987.20
  5. Step 5: Solve for x
    x = 35,146,792,987.20/210,444
  6. Step 6: Final answer
    x = 167,012.57

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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.