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Finding the Fourth Proportional to 48,447.80, 72,671.70 and 30,865.40

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Solution

The fourth proportional to 48,447.80, 72,671.70 and 30,865.40 is: 46,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,447.80 : 72,671.70 = 30,865.40 : x
  2. Step 2: Convert to fraction form
    48,447.80/72,671.70 = 30,865.40/x
  3. Step 3: Cross multiply
    48,447.80x = 72,671.70 × 30,865.40
  4. Step 4: Simplify right side
    48,447.80x = 2,243,041,089.18
  5. Step 5: Solve for x
    x = 2,243,041,089.18/48,447.80
  6. Step 6: Final answer
    x = 46,298.10

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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.