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Finding the Fourth Proportional to 152,147.20, 228,220.80 and 142,232.80

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Solution

The fourth proportional to 152,147.20, 228,220.80 and 142,232.80 is: 213,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,147.20 : 228,220.80 = 142,232.80 : x
  2. Step 2: Convert to fraction form
    152,147.20/228,220.80 = 142,232.80/x
  3. Step 3: Cross multiply
    152,147.20x = 228,220.80 × 142,232.80
  4. Step 4: Simplify right side
    152,147.20x = 32,460,483,402.24
  5. Step 5: Solve for x
    x = 32,460,483,402.24/152,147.20
  6. Step 6: Final answer
    x = 213,349.20

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1.5x scale

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.