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Finding the Fourth Proportional to 201,693.50, 278,423.16 and 143,587.74

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Solution

The fourth proportional to 201,693.50, 278,423.16 and 143,587.74 is: 198,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,693.50 : 278,423.16 = 143,587.74 : x
  2. Step 2: Convert to fraction form
    201,693.50/278,423.16 = 143,587.74/x
  3. Step 3: Cross multiply
    201,693.50x = 278,423.16 × 143,587.74
  4. Step 4: Simplify right side
    201,693.50x = 39,978,152,308.06
  5. Step 5: Solve for x
    x = 39,978,152,308.06/201,693.50
  6. Step 6: Final answer
    x = 198,212.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.