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Finding the Fourth Proportional to 92,971.70, 139,398.42 and 42,984.98

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Solution

The fourth proportional to 92,971.70, 139,398.42 and 42,984.98 is: 64,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,971.70 : 139,398.42 = 42,984.98 : x
  2. Step 2: Convert to fraction form
    92,971.70/139,398.42 = 42,984.98/x
  3. Step 3: Cross multiply
    92,971.70x = 139,398.42 × 42,984.98
  4. Step 4: Simplify right side
    92,971.70x = 5,992,038,295.73
  5. Step 5: Solve for x
    x = 5,992,038,295.73/92,971.70
  6. Step 6: Final answer
    x = 64,450.13

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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.