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Finding the Fourth Proportional to 76,430.17, 114,644.17 and 53,847.51

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Solution

The fourth proportional to 76,430.17, 114,644.17 and 53,847.51 is: 80,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430.17 : 114,644.17 = 53,847.51 : x
  2. Step 2: Convert to fraction form
    76,430.17/114,644.17 = 53,847.51/x
  3. Step 3: Cross multiply
    76,430.17x = 114,644.17 × 53,847.51
  4. Step 4: Simplify right side
    76,430.17x = 6,173,303,090.52
  5. Step 5: Solve for x
    x = 6,173,303,090.52/76,430.17
  6. Step 6: Final answer
    x = 80,770.50

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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.