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Finding the Fourth Proportional to 70,478.10, 97,259.70 and 38,647.52

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Solution

The fourth proportional to 70,478.10, 97,259.70 and 38,647.52 is: 53,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,478.10 : 97,259.70 = 38,647.52 : x
  2. Step 2: Convert to fraction form
    70,478.10/97,259.70 = 38,647.52/x
  3. Step 3: Cross multiply
    70,478.10x = 97,259.70 × 38,647.52
  4. Step 4: Simplify right side
    70,478.10x = 3,758,846,200.94
  5. Step 5: Solve for x
    x = 3,758,846,200.94/70,478.10
  6. Step 6: Final answer
    x = 53,333.53

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1.5x scale

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.