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Finding the Fourth Proportional to 48,649.60, 72,978.15 and 18,678.25

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Solution

The fourth proportional to 48,649.60, 72,978.15 and 18,678.25 is: 28,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,649.60 : 72,978.15 = 18,678.25 : x
  2. Step 2: Convert to fraction form
    48,649.60/72,978.15 = 18,678.25/x
  3. Step 3: Cross multiply
    48,649.60x = 72,978.15 × 18,678.25
  4. Step 4: Simplify right side
    48,649.60x = 1,363,104,130.24
  5. Step 5: Solve for x
    x = 1,363,104,130.24/48,649.60
  6. Step 6: Final answer
    x = 28,018.81

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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.