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Finding the Fourth Proportional to 43,075, 64,611.69 and 23,478.28

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Solution

The fourth proportional to 43,075, 64,611.69 and 23,478.28 is: 35,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,075 : 64,611.69 = 23,478.28 : x
  2. Step 2: Convert to fraction form
    43,075/64,611.69 = 23,478.28/x
  3. Step 3: Cross multiply
    43,075x = 64,611.69 × 23,478.28
  4. Step 4: Simplify right side
    43,075x = 1,516,971,349.09
  5. Step 5: Solve for x
    x = 1,516,971,349.09/43,075
  6. Step 6: Final answer
    x = 35,216.98

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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.