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Finding the Fourth Proportional to 48,485.70, 72,730.26 and 13,428

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Solution

The fourth proportional to 48,485.70, 72,730.26 and 13,428 is: 20,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,485.70 : 72,730.26 = 13,428 : x
  2. Step 2: Convert to fraction form
    48,485.70/72,730.26 = 13,428/x
  3. Step 3: Cross multiply
    48,485.70x = 72,730.26 × 13,428
  4. Step 4: Simplify right side
    48,485.70x = 976,621,931.28
  5. Step 5: Solve for x
    x = 976,621,931.28/48,485.70
  6. Step 6: Final answer
    x = 20,142.47

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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.