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Finding the Fourth Proportional to 48,645.84, 72,978.48 and 15,369

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Solution

The fourth proportional to 48,645.84, 72,978.48 and 15,369 is: 23,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645.84 : 72,978.48 = 15,369 : x
  2. Step 2: Convert to fraction form
    48,645.84/72,978.48 = 15,369/x
  3. Step 3: Cross multiply
    48,645.84x = 72,978.48 × 15,369
  4. Step 4: Simplify right side
    48,645.84x = 1,121,606,259.12
  5. Step 5: Solve for x
    x = 1,121,606,259.12/48,645.84
  6. Step 6: Final answer
    x = 23,056.57

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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.