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Finding the Fourth Proportional to 76,826.60, 115,412.70 and 53,498.60

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Solution

The fourth proportional to 76,826.60, 115,412.70 and 53,498.60 is: 80,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,826.60 : 115,412.70 = 53,498.60 : x
  2. Step 2: Convert to fraction form
    76,826.60/115,412.70 = 53,498.60/x
  3. Step 3: Cross multiply
    76,826.60x = 115,412.70 × 53,498.60
  4. Step 4: Simplify right side
    76,826.60x = 6,174,417,872.22
  5. Step 5: Solve for x
    x = 6,174,417,872.22/76,826.60
  6. Step 6: Final answer
    x = 80,368.23

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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.