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Finding the Fourth Proportional to 48,687, 73,030.50 and 15,855

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Solution

The fourth proportional to 48,687, 73,030.50 and 15,855 is: 23,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,687 : 73,030.50 = 15,855 : x
  2. Step 2: Convert to fraction form
    48,687/73,030.50 = 15,855/x
  3. Step 3: Cross multiply
    48,687x = 73,030.50 × 15,855
  4. Step 4: Simplify right side
    48,687x = 1,157,898,577.50
  5. Step 5: Solve for x
    x = 1,157,898,577.50/48,687
  6. Step 6: Final answer
    x = 23,782.50

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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.