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Finding the Fourth Proportional to 76,970.58, 115,462.67 and 21,566.74

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Solution

The fourth proportional to 76,970.58, 115,462.67 and 21,566.74 is: 32,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.58 : 115,462.67 = 21,566.74 : x
  2. Step 2: Convert to fraction form
    76,970.58/115,462.67 = 21,566.74/x
  3. Step 3: Cross multiply
    76,970.58x = 115,462.67 × 21,566.74
  4. Step 4: Simplify right side
    76,970.58x = 2,490,153,383.60
  5. Step 5: Solve for x
    x = 2,490,153,383.60/76,970.58
  6. Step 6: Final answer
    x = 32,352.02

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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.