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Finding the Fourth Proportional to 54,312, 81,468.48 and 21,480

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Solution

The fourth proportional to 54,312, 81,468.48 and 21,480 is: 32,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,312 : 81,468.48 = 21,480 : x
  2. Step 2: Convert to fraction form
    54,312/81,468.48 = 21,480/x
  3. Step 3: Cross multiply
    54,312x = 81,468.48 × 21,480
  4. Step 4: Simplify right side
    54,312x = 1,749,942,950.40
  5. Step 5: Solve for x
    x = 1,749,942,950.40/54,312
  6. Step 6: Final answer
    x = 32,220.19

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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.