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Finding the Fourth Proportional to 78,458.85, 108,282.29 and 46,627.47

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Solution

The fourth proportional to 78,458.85, 108,282.29 and 46,627.47 is: 64,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.85 : 108,282.29 = 46,627.47 : x
  2. Step 2: Convert to fraction form
    78,458.85/108,282.29 = 46,627.47/x
  3. Step 3: Cross multiply
    78,458.85x = 108,282.29 × 46,627.47
  4. Step 4: Simplify right side
    78,458.85x = 5,048,928,995.37
  5. Step 5: Solve for x
    x = 5,048,928,995.37/78,458.85
  6. Step 6: Final answer
    x = 64,351.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.