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Finding the Fourth Proportional to 77,987.55, 117,021.83 and 36,434.55

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Solution

The fourth proportional to 77,987.55, 117,021.83 and 36,434.55 is: 54,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,987.55 : 117,021.83 = 36,434.55 : x
  2. Step 2: Convert to fraction form
    77,987.55/117,021.83 = 36,434.55/x
  3. Step 3: Cross multiply
    77,987.55x = 117,021.83 × 36,434.55
  4. Step 4: Simplify right side
    77,987.55x = 4,263,637,534.05
  5. Step 5: Solve for x
    x = 4,263,637,534.05/77,987.55
  6. Step 6: Final answer
    x = 54,670.75

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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.