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Finding the Fourth Proportional to 70,782.08, 97,638.64 and 44,240

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Solution

The fourth proportional to 70,782.08, 97,638.64 and 44,240 is: 61,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,782.08 : 97,638.64 = 44,240 : x
  2. Step 2: Convert to fraction form
    70,782.08/97,638.64 = 44,240/x
  3. Step 3: Cross multiply
    70,782.08x = 97,638.64 × 44,240
  4. Step 4: Simplify right side
    70,782.08x = 4,319,533,433.60
  5. Step 5: Solve for x
    x = 4,319,533,433.60/70,782.08
  6. Step 6: Final answer
    x = 61,025.81

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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.