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Finding the Fourth Proportional to 51,433, 77,156.54 and 18,145.32

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Solution

The fourth proportional to 51,433, 77,156.54 and 18,145.32 is: 27,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,433 : 77,156.54 = 18,145.32 : x
  2. Step 2: Convert to fraction form
    51,433/77,156.54 = 18,145.32/x
  3. Step 3: Cross multiply
    51,433x = 77,156.54 × 18,145.32
  4. Step 4: Simplify right side
    51,433x = 1,400,030,108.39
  5. Step 5: Solve for x
    x = 1,400,030,108.39/51,433
  6. Step 6: Final answer
    x = 27,220.46

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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.