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Finding the Fourth Proportional to 76,858.83, 106,138.47 and 72,665.42

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Solution

The fourth proportional to 76,858.83, 106,138.47 and 72,665.42 is: 100,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.83 : 106,138.47 = 72,665.42 : x
  2. Step 2: Convert to fraction form
    76,858.83/106,138.47 = 72,665.42/x
  3. Step 3: Cross multiply
    76,858.83x = 106,138.47 × 72,665.42
  4. Step 4: Simplify right side
    76,858.83x = 7,712,595,970.02
  5. Step 5: Solve for x
    x = 7,712,595,970.02/76,858.83
  6. Step 6: Final answer
    x = 100,347.56

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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.