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Finding the Fourth Proportional to 70,437.16, 105,658.98 and 28,855

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Solution

The fourth proportional to 70,437.16, 105,658.98 and 28,855 is: 43,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,437.16 : 105,658.98 = 28,855 : x
  2. Step 2: Convert to fraction form
    70,437.16/105,658.98 = 28,855/x
  3. Step 3: Cross multiply
    70,437.16x = 105,658.98 × 28,855
  4. Step 4: Simplify right side
    70,437.16x = 3,048,789,867.90
  5. Step 5: Solve for x
    x = 3,048,789,867.90/70,437.16
  6. Step 6: Final answer
    x = 43,283.83

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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.