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Finding the Fourth Proportional to 128,066, 192,114.34 and 39,307.88

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Solution

The fourth proportional to 128,066, 192,114.34 and 39,307.88 is: 58,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,066 : 192,114.34 = 39,307.88 : x
  2. Step 2: Convert to fraction form
    128,066/192,114.34 = 39,307.88/x
  3. Step 3: Cross multiply
    128,066x = 192,114.34 × 39,307.88
  4. Step 4: Simplify right side
    128,066x = 7,551,607,423.00
  5. Step 5: Solve for x
    x = 7,551,607,423.00/128,066
  6. Step 6: Final answer
    x = 58,966.53

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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.