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Finding the Fourth Proportional to 123,415.40, 185,123.10 and 105,919.40

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Solution

The fourth proportional to 123,415.40, 185,123.10 and 105,919.40 is: 158,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,415.40 : 185,123.10 = 105,919.40 : x
  2. Step 2: Convert to fraction form
    123,415.40/185,123.10 = 105,919.40/x
  3. Step 3: Cross multiply
    123,415.40x = 185,123.10 × 105,919.40
  4. Step 4: Simplify right side
    123,415.40x = 19,608,127,678.14
  5. Step 5: Solve for x
    x = 19,608,127,678.14/123,415.40
  6. Step 6: Final answer
    x = 158,879.10

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1.5x scale

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.