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Finding the Fourth Proportional to 70,017, 105,038.91 and 38,409.75

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Solution

The fourth proportional to 70,017, 105,038.91 and 38,409.75 is: 57,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,017 : 105,038.91 = 38,409.75 : x
  2. Step 2: Convert to fraction form
    70,017/105,038.91 = 38,409.75/x
  3. Step 3: Cross multiply
    70,017x = 105,038.91 × 38,409.75
  4. Step 4: Simplify right side
    70,017x = 4,034,518,273.37
  5. Step 5: Solve for x
    x = 4,034,518,273.37/70,017
  6. Step 6: Final answer
    x = 57,621.98

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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.