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Finding the Fourth Proportional to 72,840, 100,518.93 and 40,575

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Solution

The fourth proportional to 72,840, 100,518.93 and 40,575 is: 55,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,840 : 100,518.93 = 40,575 : x
  2. Step 2: Convert to fraction form
    72,840/100,518.93 = 40,575/x
  3. Step 3: Cross multiply
    72,840x = 100,518.93 × 40,575
  4. Step 4: Simplify right side
    72,840x = 4,078,555,584.75
  5. Step 5: Solve for x
    x = 4,078,555,584.75/72,840
  6. Step 6: Final answer
    x = 55,993.35

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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.