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Finding the Fourth Proportional to 46,715.60, 70,051.80 and 20,406.80

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Solution

The fourth proportional to 46,715.60, 70,051.80 and 20,406.80 is: 30,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,715.60 : 70,051.80 = 20,406.80 : x
  2. Step 2: Convert to fraction form
    46,715.60/70,051.80 = 20,406.80/x
  3. Step 3: Cross multiply
    46,715.60x = 70,051.80 × 20,406.80
  4. Step 4: Simplify right side
    46,715.60x = 1,429,533,072.24
  5. Step 5: Solve for x
    x = 1,429,533,072.24/46,715.60
  6. Step 6: Final answer
    x = 30,600.76

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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.