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Finding the Fourth Proportional to 70,342, 97,075.20 and 38,512.24

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Solution

The fourth proportional to 70,342, 97,075.20 and 38,512.24 is: 53,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,342 : 97,075.20 = 38,512.24 : x
  2. Step 2: Convert to fraction form
    70,342/97,075.20 = 38,512.24/x
  3. Step 3: Cross multiply
    70,342x = 97,075.20 × 38,512.24
  4. Step 4: Simplify right side
    70,342x = 3,738,583,400.45
  5. Step 5: Solve for x
    x = 3,738,583,400.45/70,342
  6. Step 6: Final answer
    x = 53,148.67

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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.