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Finding the Fourth Proportional to 151,709.78, 209,352.40 and 87,133.59

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Solution

The fourth proportional to 151,709.78, 209,352.40 and 87,133.59 is: 120,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,709.78 : 209,352.40 = 87,133.59 : x
  2. Step 2: Convert to fraction form
    151,709.78/209,352.40 = 87,133.59/x
  3. Step 3: Cross multiply
    151,709.78x = 209,352.40 × 87,133.59
  4. Step 4: Simplify right side
    151,709.78x = 18,241,626,492.66
  5. Step 5: Solve for x
    x = 18,241,626,492.66/151,709.78
  6. Step 6: Final answer
    x = 120,240.28

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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.