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Finding the Fourth Proportional to 210,643.44, 316,053 and 92,399.64

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Solution

The fourth proportional to 210,643.44, 316,053 and 92,399.64 is: 138,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,643.44 : 316,053 = 92,399.64 : x
  2. Step 2: Convert to fraction form
    210,643.44/316,053 = 92,399.64/x
  3. Step 3: Cross multiply
    210,643.44x = 316,053 × 92,399.64
  4. Step 4: Simplify right side
    210,643.44x = 29,203,183,420.92
  5. Step 5: Solve for x
    x = 29,203,183,420.92/210,643.44
  6. Step 6: Final answer
    x = 138,637.99

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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.