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Finding the Fourth Proportional to 205,352.40, 307,999.80 and 65,125.20

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Solution

The fourth proportional to 205,352.40, 307,999.80 and 65,125.20 is: 97,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,352.40 : 307,999.80 = 65,125.20 : x
  2. Step 2: Convert to fraction form
    205,352.40/307,999.80 = 65,125.20/x
  3. Step 3: Cross multiply
    205,352.40x = 307,999.80 × 65,125.20
  4. Step 4: Simplify right side
    205,352.40x = 20,058,548,574.96
  5. Step 5: Solve for x
    x = 20,058,548,574.96/205,352.40
  6. Step 6: Final answer
    x = 97,678.67

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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.