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Finding the Fourth Proportional to 81,483.55, 122,206.48 and 31,547.05

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Solution

The fourth proportional to 81,483.55, 122,206.48 and 31,547.05 is: 47,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,483.55 : 122,206.48 = 31,547.05 : x
  2. Step 2: Convert to fraction form
    81,483.55/122,206.48 = 31,547.05/x
  3. Step 3: Cross multiply
    81,483.55x = 122,206.48 × 31,547.05
  4. Step 4: Simplify right side
    81,483.55x = 3,855,253,934.88
  5. Step 5: Solve for x
    x = 3,855,253,934.88/81,483.55
  6. Step 6: Final answer
    x = 47,313.28

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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.