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Finding the Fourth Proportional to 106,782, 147,354.50 and 61,461.44

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Solution

The fourth proportional to 106,782, 147,354.50 and 61,461.44 is: 84,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,782 : 147,354.50 = 61,461.44 : x
  2. Step 2: Convert to fraction form
    106,782/147,354.50 = 61,461.44/x
  3. Step 3: Cross multiply
    106,782x = 147,354.50 × 61,461.44
  4. Step 4: Simplify right side
    106,782x = 9,056,618,716.40
  5. Step 5: Solve for x
    x = 9,056,618,716.40/106,782
  6. Step 6: Final answer
    x = 84,814.10

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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.