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Finding the Fourth Proportional to 45,312, 67,973.76 and 12,480

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Solution

The fourth proportional to 45,312, 67,973.76 and 12,480 is: 18,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 67,973.76 = 12,480 : x
  2. Step 2: Convert to fraction form
    45,312/67,973.76 = 12,480/x
  3. Step 3: Cross multiply
    45,312x = 67,973.76 × 12,480
  4. Step 4: Simplify right side
    45,312x = 848,312,524.80
  5. Step 5: Solve for x
    x = 848,312,524.80/45,312
  6. Step 6: Final answer
    x = 18,721.59

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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.