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Finding the Fourth Proportional to 210,870.95, 315,956.49 and 148,410.23

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Solution

The fourth proportional to 210,870.95, 315,956.49 and 148,410.23 is: 222,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,870.95 : 315,956.49 = 148,410.23 : x
  2. Step 2: Convert to fraction form
    210,870.95/315,956.49 = 148,410.23/x
  3. Step 3: Cross multiply
    210,870.95x = 315,956.49 × 148,410.23
  4. Step 4: Simplify right side
    210,870.95x = 46,891,175,350.89
  5. Step 5: Solve for x
    x = 46,891,175,350.89/210,870.95
  6. Step 6: Final answer
    x = 222,369.06

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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.