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Finding the Fourth Proportional to 72,384.60, 99,894.84 and 40,563.74

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Solution

The fourth proportional to 72,384.60, 99,894.84 and 40,563.74 is: 55,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,384.60 : 99,894.84 = 40,563.74 : x
  2. Step 2: Convert to fraction form
    72,384.60/99,894.84 = 40,563.74/x
  3. Step 3: Cross multiply
    72,384.60x = 99,894.84 × 40,563.74
  4. Step 4: Simplify right side
    72,384.60x = 4,052,108,317.10
  5. Step 5: Solve for x
    x = 4,052,108,317.10/72,384.60
  6. Step 6: Final answer
    x = 55,980.25

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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.