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Finding the Fourth Proportional to 78,459.85, 108,283.67 and 46,628.47

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Solution

The fourth proportional to 78,459.85, 108,283.67 and 46,628.47 is: 64,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,459.85 : 108,283.67 = 46,628.47 : x
  2. Step 2: Convert to fraction form
    78,459.85/108,283.67 = 46,628.47/x
  3. Step 3: Cross multiply
    78,459.85x = 108,283.67 × 46,628.47
  4. Step 4: Simplify right side
    78,459.85x = 5,049,101,858.08
  5. Step 5: Solve for x
    x = 5,049,101,858.08/78,459.85
  6. Step 6: Final answer
    x = 64,352.68

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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.