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Finding the Fourth Proportional to 255,211.80, 382,873.06 and 77,714.16

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Solution

The fourth proportional to 255,211.80, 382,873.06 and 77,714.16 is: 116,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,211.80 : 382,873.06 = 77,714.16 : x
  2. Step 2: Convert to fraction form
    255,211.80/382,873.06 = 77,714.16/x
  3. Step 3: Cross multiply
    255,211.80x = 382,873.06 × 77,714.16
  4. Step 4: Simplify right side
    255,211.80x = 29,754,658,244.53
  5. Step 5: Solve for x
    x = 29,754,658,244.53/255,211.80
  6. Step 6: Final answer
    x = 116,588.10

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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.