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Finding the Fourth Proportional to 70,119.84, 96,749.52 and 41,820

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Solution

The fourth proportional to 70,119.84, 96,749.52 and 41,820 is: 57,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,119.84 : 96,749.52 = 41,820 : x
  2. Step 2: Convert to fraction form
    70,119.84/96,749.52 = 41,820/x
  3. Step 3: Cross multiply
    70,119.84x = 96,749.52 × 41,820
  4. Step 4: Simplify right side
    70,119.84x = 4,046,064,926.40
  5. Step 5: Solve for x
    x = 4,046,064,926.40/70,119.84
  6. Step 6: Final answer
    x = 57,702.14

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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.