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Finding the Fourth Proportional to 123,426.40, 185,139.60 and 105,930.40

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Solution

The fourth proportional to 123,426.40, 185,139.60 and 105,930.40 is: 158,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,426.40 : 185,139.60 = 105,930.40 : x
  2. Step 2: Convert to fraction form
    123,426.40/185,139.60 = 105,930.40/x
  3. Step 3: Cross multiply
    123,426.40x = 185,139.60 × 105,930.40
  4. Step 4: Simplify right side
    123,426.40x = 19,611,911,883.84
  5. Step 5: Solve for x
    x = 19,611,911,883.84/123,426.40
  6. Step 6: Final answer
    x = 158,895.60

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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.