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Finding the Fourth Proportional to 48,030.71, 72,049.71 and 12,969.86

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Solution

The fourth proportional to 48,030.71, 72,049.71 and 12,969.86 is: 19,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,030.71 : 72,049.71 = 12,969.86 : x
  2. Step 2: Convert to fraction form
    48,030.71/72,049.71 = 12,969.86/x
  3. Step 3: Cross multiply
    48,030.71x = 72,049.71 × 12,969.86
  4. Step 4: Simplify right side
    48,030.71x = 934,474,651.74
  5. Step 5: Solve for x
    x = 934,474,651.74/48,030.71
  6. Step 6: Final answer
    x = 19,455.77

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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.