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Finding the Fourth Proportional to 123,574.40, 185,361.60 and 83,916.80

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Solution

The fourth proportional to 123,574.40, 185,361.60 and 83,916.80 is: 125,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,574.40 : 185,361.60 = 83,916.80 : x
  2. Step 2: Convert to fraction form
    123,574.40/185,361.60 = 83,916.80/x
  3. Step 3: Cross multiply
    123,574.40x = 185,361.60 × 83,916.80
  4. Step 4: Simplify right side
    123,574.40x = 15,554,952,314.88
  5. Step 5: Solve for x
    x = 15,554,952,314.88/123,574.40
  6. Step 6: Final answer
    x = 125,875.20

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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.