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Finding the Fourth Proportional to 76,094.64, 104,986.80 and 45,889.20

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Solution

The fourth proportional to 76,094.64, 104,986.80 and 45,889.20 is: 63,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,094.64 : 104,986.80 = 45,889.20 : x
  2. Step 2: Convert to fraction form
    76,094.64/104,986.80 = 45,889.20/x
  3. Step 3: Cross multiply
    76,094.64x = 104,986.80 × 45,889.20
  4. Step 4: Simplify right side
    76,094.64x = 4,817,760,262.56
  5. Step 5: Solve for x
    x = 4,817,760,262.56/76,094.64
  6. Step 6: Final answer
    x = 63,312.74

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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.