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Finding the Fourth Proportional to 70,415.23, 105,640.16 and 20,495.77

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Solution

The fourth proportional to 70,415.23, 105,640.16 and 20,495.77 is: 30,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,415.23 : 105,640.16 = 20,495.77 : x
  2. Step 2: Convert to fraction form
    70,415.23/105,640.16 = 20,495.77/x
  3. Step 3: Cross multiply
    70,415.23x = 105,640.16 × 20,495.77
  4. Step 4: Simplify right side
    70,415.23x = 2,165,176,422.12
  5. Step 5: Solve for x
    x = 2,165,176,422.12/70,415.23
  6. Step 6: Final answer
    x = 30,748.69

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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.