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Finding the Fourth Proportional to 255,164.56, 382,828.80 and 77,705.92

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Solution

The fourth proportional to 255,164.56, 382,828.80 and 77,705.92 is: 116,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,164.56 : 382,828.80 = 77,705.92 : x
  2. Step 2: Convert to fraction form
    255,164.56/382,828.80 = 77,705.92/x
  3. Step 3: Cross multiply
    255,164.56x = 382,828.80 × 77,705.92
  4. Step 4: Simplify right side
    255,164.56x = 29,748,064,106.50
  5. Step 5: Solve for x
    x = 29,748,064,106.50/255,164.56
  6. Step 6: Final answer
    x = 116,583.84

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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.