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Finding the Fourth Proportional to 152,520.44, 228,809.40 and 57,779

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Solution

The fourth proportional to 152,520.44, 228,809.40 and 57,779 is: 86,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,520.44 : 228,809.40 = 57,779 : x
  2. Step 2: Convert to fraction form
    152,520.44/228,809.40 = 57,779/x
  3. Step 3: Cross multiply
    152,520.44x = 228,809.40 × 57,779
  4. Step 4: Simplify right side
    152,520.44x = 13,220,378,322.60
  5. Step 5: Solve for x
    x = 13,220,378,322.60/152,520.44
  6. Step 6: Final answer
    x = 86,679.39

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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.