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Finding the Fourth Proportional to 78,378.88, 108,176.16 and 46,564.96

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Solution

The fourth proportional to 78,378.88, 108,176.16 and 46,564.96 is: 64,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.88 : 108,176.16 = 46,564.96 : x
  2. Step 2: Convert to fraction form
    78,378.88/108,176.16 = 46,564.96/x
  3. Step 3: Cross multiply
    78,378.88x = 108,176.16 × 46,564.96
  4. Step 4: Simplify right side
    78,378.88x = 5,037,218,563.35
  5. Step 5: Solve for x
    x = 5,037,218,563.35/78,378.88
  6. Step 6: Final answer
    x = 64,267.55

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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.