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Finding the Fourth Proportional to 70,894.05, 106,341.06 and 20,970.26

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Solution

The fourth proportional to 70,894.05, 106,341.06 and 20,970.26 is: 31,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,894.05 : 106,341.06 = 20,970.26 : x
  2. Step 2: Convert to fraction form
    70,894.05/106,341.06 = 20,970.26/x
  3. Step 3: Cross multiply
    70,894.05x = 106,341.06 × 20,970.26
  4. Step 4: Simplify right side
    70,894.05x = 2,229,999,145.17
  5. Step 5: Solve for x
    x = 2,229,999,145.17/70,894.05
  6. Step 6: Final answer
    x = 31,455.38

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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.