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Finding the Fourth Proportional to 48,296.40, 72,457.20 and 18,715.20

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Solution

The fourth proportional to 48,296.40, 72,457.20 and 18,715.20 is: 28,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296.40 : 72,457.20 = 18,715.20 : x
  2. Step 2: Convert to fraction form
    48,296.40/72,457.20 = 18,715.20/x
  3. Step 3: Cross multiply
    48,296.40x = 72,457.20 × 18,715.20
  4. Step 4: Simplify right side
    48,296.40x = 1,356,050,989.44
  5. Step 5: Solve for x
    x = 1,356,050,989.44/48,296.40
  6. Step 6: Final answer
    x = 28,077.68

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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.