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Finding the Fourth Proportional to 70,557.27, 105,835.82 and 30,543.47

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Solution

The fourth proportional to 70,557.27, 105,835.82 and 30,543.47 is: 45,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,557.27 : 105,835.82 = 30,543.47 : x
  2. Step 2: Convert to fraction form
    70,557.27/105,835.82 = 30,543.47/x
  3. Step 3: Cross multiply
    70,557.27x = 105,835.82 × 30,543.47
  4. Step 4: Simplify right side
    70,557.27x = 3,232,592,511.20
  5. Step 5: Solve for x
    x = 3,232,592,511.20/70,557.27
  6. Step 6: Final answer
    x = 45,815.16

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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.