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Finding the Fourth Proportional to 70,658.12, 97,510.38 and 38,828

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Solution

The fourth proportional to 70,658.12, 97,510.38 and 38,828 is: 53,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,658.12 : 97,510.38 = 38,828 : x
  2. Step 2: Convert to fraction form
    70,658.12/97,510.38 = 38,828/x
  3. Step 3: Cross multiply
    70,658.12x = 97,510.38 × 38,828
  4. Step 4: Simplify right side
    70,658.12x = 3,786,133,034.64
  5. Step 5: Solve for x
    x = 3,786,133,034.64/70,658.12
  6. Step 6: Final answer
    x = 53,583.83

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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.