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Finding the Fourth Proportional to 77,798.16, 107,135.54 and 67,584.52

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Solution

The fourth proportional to 77,798.16, 107,135.54 and 67,584.52 is: 93,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798.16 : 107,135.54 = 67,584.52 : x
  2. Step 2: Convert to fraction form
    77,798.16/107,135.54 = 67,584.52/x
  3. Step 3: Cross multiply
    77,798.16x = 107,135.54 × 67,584.52
  4. Step 4: Simplify right side
    77,798.16x = 7,240,704,045.84
  5. Step 5: Solve for x
    x = 7,240,704,045.84/77,798.16
  6. Step 6: Final answer
    x = 93,070.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.