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Finding the Fourth Proportional to 152,813.40, 228,782.70 and 135,317.40

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Solution

The fourth proportional to 152,813.40, 228,782.70 and 135,317.40 is: 202,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,813.40 : 228,782.70 = 135,317.40 : x
  2. Step 2: Convert to fraction form
    152,813.40/228,782.70 = 135,317.40/x
  3. Step 3: Cross multiply
    152,813.40x = 228,782.70 × 135,317.40
  4. Step 4: Simplify right side
    152,813.40x = 30,958,280,128.98
  5. Step 5: Solve for x
    x = 30,958,280,128.98/152,813.40
  6. Step 6: Final answer
    x = 202,588.78

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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.