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Finding the Fourth Proportional to 70,514, 97,312.20 and 40,706

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Solution

The fourth proportional to 70,514, 97,312.20 and 40,706 is: 56,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,514 : 97,312.20 = 40,706 : x
  2. Step 2: Convert to fraction form
    70,514/97,312.20 = 40,706/x
  3. Step 3: Cross multiply
    70,514x = 97,312.20 × 40,706
  4. Step 4: Simplify right side
    70,514x = 3,961,190,413.20
  5. Step 5: Solve for x
    x = 3,961,190,413.20/70,514
  6. Step 6: Final answer
    x = 56,175.94

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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.