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Finding the Fourth Proportional to 145,028.16, 217,629.84 and 51,526.80

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Solution

The fourth proportional to 145,028.16, 217,629.84 and 51,526.80 is: 77,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,028.16 : 217,629.84 = 51,526.80 : x
  2. Step 2: Convert to fraction form
    145,028.16/217,629.84 = 51,526.80/x
  3. Step 3: Cross multiply
    145,028.16x = 217,629.84 × 51,526.80
  4. Step 4: Simplify right side
    145,028.16x = 11,213,769,239.71
  5. Step 5: Solve for x
    x = 11,213,769,239.71/145,028.16
  6. Step 6: Final answer
    x = 77,321.32

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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.