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Finding the Fourth Proportional to 210,909.54, 315,966.80 and 104,168.54

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Solution

The fourth proportional to 210,909.54, 315,966.80 and 104,168.54 is: 156,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,909.54 : 315,966.80 = 104,168.54 : x
  2. Step 2: Convert to fraction form
    210,909.54/315,966.80 = 104,168.54/x
  3. Step 3: Cross multiply
    210,909.54x = 315,966.80 × 104,168.54
  4. Step 4: Simplify right side
    210,909.54x = 32,913,800,244.47
  5. Step 5: Solve for x
    x = 32,913,800,244.47/210,909.54
  6. Step 6: Final answer
    x = 156,056.48

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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.