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Finding the Fourth Proportional to 77,451.68, 106,943.52 and 59,518.40

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Solution

The fourth proportional to 77,451.68, 106,943.52 and 59,518.40 is: 82,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,451.68 : 106,943.52 = 59,518.40 : x
  2. Step 2: Convert to fraction form
    77,451.68/106,943.52 = 59,518.40/x
  3. Step 3: Cross multiply
    77,451.68x = 106,943.52 × 59,518.40
  4. Step 4: Simplify right side
    77,451.68x = 6,365,107,200.77
  5. Step 5: Solve for x
    x = 6,365,107,200.77/77,451.68
  6. Step 6: Final answer
    x = 82,181.65

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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.