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Finding the Fourth Proportional to 70,878.96, 106,328.16 and 20,962.98

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Solution

The fourth proportional to 70,878.96, 106,328.16 and 20,962.98 is: 31,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.96 : 106,328.16 = 20,962.98 : x
  2. Step 2: Convert to fraction form
    70,878.96/106,328.16 = 20,962.98/x
  3. Step 3: Cross multiply
    70,878.96x = 106,328.16 × 20,962.98
  4. Step 4: Simplify right side
    70,878.96x = 2,228,955,091.52
  5. Step 5: Solve for x
    x = 2,228,955,091.52/70,878.96
  6. Step 6: Final answer
    x = 31,447.34

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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.