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Finding the Fourth Proportional to 145,777.31, 218,729.75 and 51,075.65

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Solution

The fourth proportional to 145,777.31, 218,729.75 and 51,075.65 is: 76,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,777.31 : 218,729.75 = 51,075.65 : x
  2. Step 2: Convert to fraction form
    145,777.31/218,729.75 = 51,075.65/x
  3. Step 3: Cross multiply
    145,777.31x = 218,729.75 × 51,075.65
  4. Step 4: Simplify right side
    145,777.31x = 11,171,764,155.59
  5. Step 5: Solve for x
    x = 11,171,764,155.59/145,777.31
  6. Step 6: Final answer
    x = 76,635.82

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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.