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Finding the Fourth Proportional to 70,436.16, 105,657.48 and 28,854

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Solution

The fourth proportional to 70,436.16, 105,657.48 and 28,854 is: 43,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,436.16 : 105,657.48 = 28,854 : x
  2. Step 2: Convert to fraction form
    70,436.16/105,657.48 = 28,854/x
  3. Step 3: Cross multiply
    70,436.16x = 105,657.48 × 28,854
  4. Step 4: Simplify right side
    70,436.16x = 3,048,640,927.92
  5. Step 5: Solve for x
    x = 3,048,640,927.92/70,436.16
  6. Step 6: Final answer
    x = 43,282.33

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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.