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Finding the Fourth Proportional to 70,618, 97,451.16 and 38,786.80

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Solution

The fourth proportional to 70,618, 97,451.16 and 38,786.80 is: 53,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,618 : 97,451.16 = 38,786.80 : x
  2. Step 2: Convert to fraction form
    70,618/97,451.16 = 38,786.80/x
  3. Step 3: Cross multiply
    70,618x = 97,451.16 × 38,786.80
  4. Step 4: Simplify right side
    70,618x = 3,779,818,652.69
  5. Step 5: Solve for x
    x = 3,779,818,652.69/70,618
  6. Step 6: Final answer
    x = 53,524.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.