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Finding the Fourth Proportional to 109,409.80, 152,823.80 and 109,409.80

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Solution

The fourth proportional to 109,409.80, 152,823.80 and 109,409.80 is: 152,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.80 : 152,823.80 = 109,409.80 : x
  2. Step 2: Convert to fraction form
    109,409.80/152,823.80 = 109,409.80/x
  3. Step 3: Cross multiply
    109,409.80x = 152,823.80 × 109,409.80
  4. Step 4: Simplify right side
    109,409.80x = 16,720,421,393.24
  5. Step 5: Solve for x
    x = 16,720,421,393.24/109,409.80
  6. Step 6: Final answer
    x = 152,823.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.