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Finding the Fourth Proportional to 255,115.44, 382,692.60 and 77,637.60

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Solution

The fourth proportional to 255,115.44, 382,692.60 and 77,637.60 is: 116,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,115.44 : 382,692.60 = 77,637.60 : x
  2. Step 2: Convert to fraction form
    255,115.44/382,692.60 = 77,637.60/x
  3. Step 3: Cross multiply
    255,115.44x = 382,692.60 × 77,637.60
  4. Step 4: Simplify right side
    255,115.44x = 29,711,335,001.76
  5. Step 5: Solve for x
    x = 29,711,335,001.76/255,115.44
  6. Step 6: Final answer
    x = 116,462.32

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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.