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Finding the Fourth Proportional to 255,223.06, 382,723.63 and 77,688.48

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Solution

The fourth proportional to 255,223.06, 382,723.63 and 77,688.48 is: 116,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,223.06 : 382,723.63 = 77,688.48 : x
  2. Step 2: Convert to fraction form
    255,223.06/382,723.63 = 77,688.48/x
  3. Step 3: Cross multiply
    255,223.06x = 382,723.63 × 77,688.48
  4. Step 4: Simplify right side
    255,223.06x = 29,733,217,074.78
  5. Step 5: Solve for x
    x = 29,733,217,074.78/255,223.06
  6. Step 6: Final answer
    x = 116,498.94

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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.