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Finding the Fourth Proportional to 72,384.60, 108,674.10 and 46,205.40

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Solution

The fourth proportional to 72,384.60, 108,674.10 and 46,205.40 is: 69,370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,384.60 : 108,674.10 = 46,205.40 : x
  2. Step 2: Convert to fraction form
    72,384.60/108,674.10 = 46,205.40/x
  3. Step 3: Cross multiply
    72,384.60x = 108,674.10 × 46,205.40
  4. Step 4: Simplify right side
    72,384.60x = 5,021,330,260.14
  5. Step 5: Solve for x
    x = 5,021,330,260.14/72,384.60
  6. Step 6: Final answer
    x = 69,370.15

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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.