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Finding the Fourth Proportional to 70,706.88, 97,578 and 38,878.20

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Solution

The fourth proportional to 70,706.88, 97,578 and 38,878.20 is: 53,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706.88 : 97,578 = 38,878.20 : x
  2. Step 2: Convert to fraction form
    70,706.88/97,578 = 38,878.20/x
  3. Step 3: Cross multiply
    70,706.88x = 97,578 × 38,878.20
  4. Step 4: Simplify right side
    70,706.88x = 3,793,656,999.60
  5. Step 5: Solve for x
    x = 3,793,656,999.60/70,706.88
  6. Step 6: Final answer
    x = 53,653.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.