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Finding the Fourth Proportional to 109,804.10, 164,706.15 and 72,406.40

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Solution

The fourth proportional to 109,804.10, 164,706.15 and 72,406.40 is: 108,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,804.10 : 164,706.15 = 72,406.40 : x
  2. Step 2: Convert to fraction form
    109,804.10/164,706.15 = 72,406.40/x
  3. Step 3: Cross multiply
    109,804.10x = 164,706.15 × 72,406.40
  4. Step 4: Simplify right side
    109,804.10x = 11,925,779,379.36
  5. Step 5: Solve for x
    x = 11,925,779,379.36/109,804.10
  6. Step 6: Final answer
    x = 108,609.60

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1.5x scale

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.