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Finding the Fourth Proportional to 48,746, 73,119.40 and 11,810

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Solution

The fourth proportional to 48,746, 73,119.40 and 11,810 is: 17,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,746 : 73,119.40 = 11,810 : x
  2. Step 2: Convert to fraction form
    48,746/73,119.40 = 11,810/x
  3. Step 3: Cross multiply
    48,746x = 73,119.40 × 11,810
  4. Step 4: Simplify right side
    48,746x = 863,540,114.00
  5. Step 5: Solve for x
    x = 863,540,114.00/48,746
  6. Step 6: Final answer
    x = 17,715.10

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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.