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Finding the Fourth Proportional to 70,080, 105,135.36 and 26,304

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Solution

The fourth proportional to 70,080, 105,135.36 and 26,304 is: 39,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,080 : 105,135.36 = 26,304 : x
  2. Step 2: Convert to fraction form
    70,080/105,135.36 = 26,304/x
  3. Step 3: Cross multiply
    70,080x = 105,135.36 × 26,304
  4. Step 4: Simplify right side
    70,080x = 2,765,480,509.44
  5. Step 5: Solve for x
    x = 2,765,480,509.44/70,080
  6. Step 6: Final answer
    x = 39,461.77

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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.