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Finding the Fourth Proportional to 145,692.48, 218,541.60 and 40,509.96

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Solution

The fourth proportional to 145,692.48, 218,541.60 and 40,509.96 is: 60,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,692.48 : 218,541.60 = 40,509.96 : x
  2. Step 2: Convert to fraction form
    145,692.48/218,541.60 = 40,509.96/x
  3. Step 3: Cross multiply
    145,692.48x = 218,541.60 × 40,509.96
  4. Step 4: Simplify right side
    145,692.48x = 8,853,111,474.34
  5. Step 5: Solve for x
    x = 8,853,111,474.34/145,692.48
  6. Step 6: Final answer
    x = 60,765.74

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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.