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Finding the Fourth Proportional to 145,648.94, 218,558.34 and 61,403.96

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Solution

The fourth proportional to 145,648.94, 218,558.34 and 61,403.96 is: 92,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,648.94 : 218,558.34 = 61,403.96 : x
  2. Step 2: Convert to fraction form
    145,648.94/218,558.34 = 61,403.96/x
  3. Step 3: Cross multiply
    145,648.94x = 218,558.34 × 61,403.96
  4. Step 4: Simplify right side
    145,648.94x = 13,420,347,567.03
  5. Step 5: Solve for x
    x = 13,420,347,567.03/145,648.94
  6. Step 6: Final answer
    x = 92,141.75

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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.