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Finding the Fourth Proportional to 209,858.55, 314,672.40 and 143,373.75

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Solution

The fourth proportional to 209,858.55, 314,672.40 and 143,373.75 is: 214,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858.55 : 314,672.40 = 143,373.75 : x
  2. Step 2: Convert to fraction form
    209,858.55/314,672.40 = 143,373.75/x
  3. Step 3: Cross multiply
    209,858.55x = 314,672.40 × 143,373.75
  4. Step 4: Simplify right side
    209,858.55x = 45,115,762,009.50
  5. Step 5: Solve for x
    x = 45,115,762,009.50/209,858.55
  6. Step 6: Final answer
    x = 214,981.77

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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.