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Finding the Fourth Proportional to 210,064.64, 314,356.80 and 131,216

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Solution

The fourth proportional to 210,064.64, 314,356.80 and 131,216 is: 196,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,064.64 : 314,356.80 = 131,216 : x
  2. Step 2: Convert to fraction form
    210,064.64/314,356.80 = 131,216/x
  3. Step 3: Cross multiply
    210,064.64x = 314,356.80 × 131,216
  4. Step 4: Simplify right side
    210,064.64x = 41,248,641,868.80
  5. Step 5: Solve for x
    x = 41,248,641,868.80/210,064.64
  6. Step 6: Final answer
    x = 196,361.66

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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.