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Finding the Fourth Proportional to 123,873.30, 185,511.78 and 70,434.56

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Solution

The fourth proportional to 123,873.30, 185,511.78 and 70,434.56 is: 105,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,873.30 : 185,511.78 = 70,434.56 : x
  2. Step 2: Convert to fraction form
    123,873.30/185,511.78 = 70,434.56/x
  3. Step 3: Cross multiply
    123,873.30x = 185,511.78 × 70,434.56
  4. Step 4: Simplify right side
    123,873.30x = 13,066,440,599.12
  5. Step 5: Solve for x
    x = 13,066,440,599.12/123,873.30
  6. Step 6: Final answer
    x = 105,482.30

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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.