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Finding the Fourth Proportional to 85,781.40, 128,814.66 and 57,880.98

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Solution

The fourth proportional to 85,781.40, 128,814.66 and 57,880.98 is: 86,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,781.40 : 128,814.66 = 57,880.98 : x
  2. Step 2: Convert to fraction form
    85,781.40/128,814.66 = 57,880.98/x
  3. Step 3: Cross multiply
    85,781.40x = 128,814.66 × 57,880.98
  4. Step 4: Simplify right side
    85,781.40x = 7,455,918,759.17
  5. Step 5: Solve for x
    x = 7,455,918,759.17/85,781.40
  6. Step 6: Final answer
    x = 86,917.66

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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.