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Finding the Fourth Proportional to 152,139.20, 228,241.20 and 46,968.80

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Solution

The fourth proportional to 152,139.20, 228,241.20 and 46,968.80 is: 70,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,139.20 : 228,241.20 = 46,968.80 : x
  2. Step 2: Convert to fraction form
    152,139.20/228,241.20 = 46,968.80/x
  3. Step 3: Cross multiply
    152,139.20x = 228,241.20 × 46,968.80
  4. Step 4: Simplify right side
    152,139.20x = 10,720,215,274.56
  5. Step 5: Solve for x
    x = 10,720,215,274.56/152,139.20
  6. Step 6: Final answer
    x = 70,463.20

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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.