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Finding the Fourth Proportional to 70,090.40, 96,725.04 and 38,260

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Solution

The fourth proportional to 70,090.40, 96,725.04 and 38,260 is: 52,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,090.40 : 96,725.04 = 38,260 : x
  2. Step 2: Convert to fraction form
    70,090.40/96,725.04 = 38,260/x
  3. Step 3: Cross multiply
    70,090.40x = 96,725.04 × 38,260
  4. Step 4: Simplify right side
    70,090.40x = 3,700,700,030.40
  5. Step 5: Solve for x
    x = 3,700,700,030.40/70,090.40
  6. Step 6: Final answer
    x = 52,798.96

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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.