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Finding the Fourth Proportional to 255,010, 382,558.74 and 77,534.96

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Solution

The fourth proportional to 255,010, 382,558.74 and 77,534.96 is: 116,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,010 : 382,558.74 = 77,534.96 : x
  2. Step 2: Convert to fraction form
    255,010/382,558.74 = 77,534.96/x
  3. Step 3: Cross multiply
    255,010x = 382,558.74 × 77,534.96
  4. Step 4: Simplify right side
    255,010x = 29,661,676,603.55
  5. Step 5: Solve for x
    x = 29,661,676,603.55/255,010
  6. Step 6: Final answer
    x = 116,315.74

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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.