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Finding the Fourth Proportional to 70,130.88, 96,782.58 and 38,300.22

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Solution

The fourth proportional to 70,130.88, 96,782.58 and 38,300.22 is: 52,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,130.88 : 96,782.58 = 38,300.22 : x
  2. Step 2: Convert to fraction form
    70,130.88/96,782.58 = 38,300.22/x
  3. Step 3: Cross multiply
    70,130.88x = 96,782.58 × 38,300.22
  4. Step 4: Simplify right side
    70,130.88x = 3,706,794,106.17
  5. Step 5: Solve for x
    x = 3,706,794,106.17/70,130.88
  6. Step 6: Final answer
    x = 52,855.38

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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.