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Finding the Fourth Proportional to 152,005.80, 228,008.70 and 82,021.80

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Solution

The fourth proportional to 152,005.80, 228,008.70 and 82,021.80 is: 123,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,005.80 : 228,008.70 = 82,021.80 : x
  2. Step 2: Convert to fraction form
    152,005.80/228,008.70 = 82,021.80/x
  3. Step 3: Cross multiply
    152,005.80x = 228,008.70 × 82,021.80
  4. Step 4: Simplify right side
    152,005.80x = 18,701,683,989.66
  5. Step 5: Solve for x
    x = 18,701,683,989.66/152,005.80
  6. Step 6: Final answer
    x = 123,032.70

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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.