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Finding the Fourth Proportional to 77,137.84, 115,587.08 and 53,491.51

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Solution

The fourth proportional to 77,137.84, 115,587.08 and 53,491.51 is: 80,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,137.84 : 115,587.08 = 53,491.51 : x
  2. Step 2: Convert to fraction form
    77,137.84/115,587.08 = 53,491.51/x
  3. Step 3: Cross multiply
    77,137.84x = 115,587.08 × 53,491.51
  4. Step 4: Simplify right side
    77,137.84x = 6,182,926,600.30
  5. Step 5: Solve for x
    x = 6,182,926,600.30/77,137.84
  6. Step 6: Final answer
    x = 80,154.27

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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.