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Finding the Fourth Proportional to 94,728, 130,709.76 and 54,434

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Solution

The fourth proportional to 94,728, 130,709.76 and 54,434 is: 75,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,728 : 130,709.76 = 54,434 : x
  2. Step 2: Convert to fraction form
    94,728/130,709.76 = 54,434/x
  3. Step 3: Cross multiply
    94,728x = 130,709.76 × 54,434
  4. Step 4: Simplify right side
    94,728x = 7,115,055,075.84
  5. Step 5: Solve for x
    x = 7,115,055,075.84/94,728
  6. Step 6: Final answer
    x = 75,110.37

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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.