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Finding the Fourth Proportional to 51,989, 78,018.06 and 19,157

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Solution

The fourth proportional to 51,989, 78,018.06 and 19,157 is: 28,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,989 : 78,018.06 = 19,157 : x
  2. Step 2: Convert to fraction form
    51,989/78,018.06 = 19,157/x
  3. Step 3: Cross multiply
    51,989x = 78,018.06 × 19,157
  4. Step 4: Simplify right side
    51,989x = 1,494,591,975.42
  5. Step 5: Solve for x
    x = 1,494,591,975.42/51,989
  6. Step 6: Final answer
    x = 28,748.23

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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.