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Finding the Fourth Proportional to 77,738.16, 116,582.64 and 51,582

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Solution

The fourth proportional to 77,738.16, 116,582.64 and 51,582 is: 77,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,738.16 : 116,582.64 = 51,582 : x
  2. Step 2: Convert to fraction form
    77,738.16/116,582.64 = 51,582/x
  3. Step 3: Cross multiply
    77,738.16x = 116,582.64 × 51,582
  4. Step 4: Simplify right side
    77,738.16x = 6,013,565,736.48
  5. Step 5: Solve for x
    x = 6,013,565,736.48/77,738.16
  6. Step 6: Final answer
    x = 77,356.68

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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.