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Finding the Fourth Proportional to 210,211.68, 290,081.35 and 119,565.64

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Solution

The fourth proportional to 210,211.68, 290,081.35 and 119,565.64 is: 164,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,211.68 : 290,081.35 = 119,565.64 : x
  2. Step 2: Convert to fraction form
    210,211.68/290,081.35 = 119,565.64/x
  3. Step 3: Cross multiply
    210,211.68x = 290,081.35 × 119,565.64
  4. Step 4: Simplify right side
    210,211.68x = 34,683,763,592.73
  5. Step 5: Solve for x
    x = 34,683,763,592.73/210,211.68
  6. Step 6: Final answer
    x = 164,994.46

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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.