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Finding the Fourth Proportional to 78,364.63, 108,160.41 and 51,509.64

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Solution

The fourth proportional to 78,364.63, 108,160.41 and 51,509.64 is: 71,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364.63 : 108,160.41 = 51,509.64 : x
  2. Step 2: Convert to fraction form
    78,364.63/108,160.41 = 51,509.64/x
  3. Step 3: Cross multiply
    78,364.63x = 108,160.41 × 51,509.64
  4. Step 4: Simplify right side
    78,364.63x = 5,571,303,771.71
  5. Step 5: Solve for x
    x = 5,571,303,771.71/78,364.63
  6. Step 6: Final answer
    x = 71,094.62

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1.5x scale

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.