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Finding the Fourth Proportional to 77,357.28, 106,772.40 and 47,532

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Solution

The fourth proportional to 77,357.28, 106,772.40 and 47,532 is: 65,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357.28 : 106,772.40 = 47,532 : x
  2. Step 2: Convert to fraction form
    77,357.28/106,772.40 = 47,532/x
  3. Step 3: Cross multiply
    77,357.28x = 106,772.40 × 47,532
  4. Step 4: Simplify right side
    77,357.28x = 5,075,105,716.80
  5. Step 5: Solve for x
    x = 5,075,105,716.80/77,357.28
  6. Step 6: Final answer
    x = 65,606.05

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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.