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Finding the Fourth Proportional to 255,264.66, 382,954.10 and 77,785.56

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Solution

The fourth proportional to 255,264.66, 382,954.10 and 77,785.56 is: 116,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,264.66 : 382,954.10 = 77,785.56 : x
  2. Step 2: Convert to fraction form
    255,264.66/382,954.10 = 77,785.56/x
  3. Step 3: Cross multiply
    255,264.66x = 382,954.10 × 77,785.56
  4. Step 4: Simplify right side
    255,264.66x = 29,788,298,733.87
  5. Step 5: Solve for x
    x = 29,788,298,733.87/255,264.66
  6. Step 6: Final answer
    x = 116,695.74

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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.