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Finding the Fourth Proportional to 210,641.68, 315,682.20 and 103,862.64

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Solution

The fourth proportional to 210,641.68, 315,682.20 and 103,862.64 is: 155,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,641.68 : 315,682.20 = 103,862.64 : x
  2. Step 2: Convert to fraction form
    210,641.68/315,682.20 = 103,862.64/x
  3. Step 3: Cross multiply
    210,641.68x = 315,682.20 × 103,862.64
  4. Step 4: Simplify right side
    210,641.68x = 32,787,586,693.01
  5. Step 5: Solve for x
    x = 32,787,586,693.01/210,641.68
  6. Step 6: Final answer
    x = 155,655.74

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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.