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Finding the Fourth Proportional to 85,885.76, 128,802.72 and 50,816

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Solution

The fourth proportional to 85,885.76, 128,802.72 and 50,816 is: 76,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,885.76 : 128,802.72 = 50,816 : x
  2. Step 2: Convert to fraction form
    85,885.76/128,802.72 = 50,816/x
  3. Step 3: Cross multiply
    85,885.76x = 128,802.72 × 50,816
  4. Step 4: Simplify right side
    85,885.76x = 6,545,239,019.52
  5. Step 5: Solve for x
    x = 6,545,239,019.52/85,885.76
  6. Step 6: Final answer
    x = 76,208.66

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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.