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Finding the Fourth Proportional to 143,071.68, 214,646.40 and 49,584.72

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Solution

The fourth proportional to 143,071.68, 214,646.40 and 49,584.72 is: 74,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,071.68 : 214,646.40 = 49,584.72 : x
  2. Step 2: Convert to fraction form
    143,071.68/214,646.40 = 49,584.72/x
  3. Step 3: Cross multiply
    143,071.68x = 214,646.40 × 49,584.72
  4. Step 4: Simplify right side
    143,071.68x = 10,643,181,643.01
  5. Step 5: Solve for x
    x = 10,643,181,643.01/143,071.68
  6. Step 6: Final answer
    x = 74,390.55

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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.