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Finding the Fourth Proportional to 255,264.54, 382,953.91 and 77,785.44

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Solution

The fourth proportional to 255,264.54, 382,953.91 and 77,785.44 is: 116,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,264.54 : 382,953.91 = 77,785.44 : x
  2. Step 2: Convert to fraction form
    255,264.54/382,953.91 = 77,785.44/x
  3. Step 3: Cross multiply
    255,264.54x = 382,953.91 × 77,785.44
  4. Step 4: Simplify right side
    255,264.54x = 29,788,238,389.07
  5. Step 5: Solve for x
    x = 29,788,238,389.07/255,264.54
  6. Step 6: Final answer
    x = 116,695.56

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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.