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Finding the Fourth Proportional to 70,415, 105,629.02 and 23,030.36

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Solution

The fourth proportional to 70,415, 105,629.02 and 23,030.36 is: 34,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,415 : 105,629.02 = 23,030.36 : x
  2. Step 2: Convert to fraction form
    70,415/105,629.02 = 23,030.36/x
  3. Step 3: Cross multiply
    70,415x = 105,629.02 × 23,030.36
  4. Step 4: Simplify right side
    70,415x = 2,432,674,357.05
  5. Step 5: Solve for x
    x = 2,432,674,357.05/70,415
  6. Step 6: Final answer
    x = 34,547.67

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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.