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Finding the Fourth Proportional to 51,656.94, 71,280.54 and 28,990.98

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Solution

The fourth proportional to 51,656.94, 71,280.54 and 28,990.98 is: 40,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,656.94 : 71,280.54 = 28,990.98 : x
  2. Step 2: Convert to fraction form
    51,656.94/71,280.54 = 28,990.98/x
  3. Step 3: Cross multiply
    51,656.94x = 71,280.54 × 28,990.98
  4. Step 4: Simplify right side
    51,656.94x = 2,066,492,709.53
  5. Step 5: Solve for x
    x = 2,066,492,709.53/51,656.94
  6. Step 6: Final answer
    x = 40,004.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.