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Finding the Fourth Proportional to 70,415.76, 97,176 and 38,586.66

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Solution

The fourth proportional to 70,415.76, 97,176 and 38,586.66 is: 53,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,415.76 : 97,176 = 38,586.66 : x
  2. Step 2: Convert to fraction form
    70,415.76/97,176 = 38,586.66/x
  3. Step 3: Cross multiply
    70,415.76x = 97,176 × 38,586.66
  4. Step 4: Simplify right side
    70,415.76x = 3,749,697,272.16
  5. Step 5: Solve for x
    x = 3,749,697,272.16/70,415.76
  6. Step 6: Final answer
    x = 53,250.82

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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.