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Finding the Fourth Proportional to 52,309, 78,498.78 and 19,477

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Solution

The fourth proportional to 52,309, 78,498.78 and 19,477 is: 29,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,309 : 78,498.78 = 19,477 : x
  2. Step 2: Convert to fraction form
    52,309/78,498.78 = 19,477/x
  3. Step 3: Cross multiply
    52,309x = 78,498.78 × 19,477
  4. Step 4: Simplify right side
    52,309x = 1,528,920,738.06
  5. Step 5: Solve for x
    x = 1,528,920,738.06/52,309
  6. Step 6: Final answer
    x = 29,228.64

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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.