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Finding the Fourth Proportional to 42,671.60, 64,007.40 and 28,674.80

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Solution

The fourth proportional to 42,671.60, 64,007.40 and 28,674.80 is: 43,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,671.60 : 64,007.40 = 28,674.80 : x
  2. Step 2: Convert to fraction form
    42,671.60/64,007.40 = 28,674.80/x
  3. Step 3: Cross multiply
    42,671.60x = 64,007.40 × 28,674.80
  4. Step 4: Simplify right side
    42,671.60x = 1,835,399,393.52
  5. Step 5: Solve for x
    x = 1,835,399,393.52/42,671.60
  6. Step 6: Final answer
    x = 43,012.20

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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.