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Finding the Fourth Proportional to 268,782.80, 403,088.24 and 88,834.64

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Solution

The fourth proportional to 268,782.80, 403,088.24 and 88,834.64 is: 133,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,782.80 : 403,088.24 = 88,834.64 : x
  2. Step 2: Convert to fraction form
    268,782.80/403,088.24 = 88,834.64/x
  3. Step 3: Cross multiply
    268,782.80x = 403,088.24 × 88,834.64
  4. Step 4: Simplify right side
    268,782.80x = 35,808,198,688.63
  5. Step 5: Solve for x
    x = 35,808,198,688.63/268,782.80
  6. Step 6: Final answer
    x = 133,223.55

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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.