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Finding the Fourth Proportional to 106,722.74, 147,283.04 and 61,407.60

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Solution

The fourth proportional to 106,722.74, 147,283.04 and 61,407.60 is: 84,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722.74 : 147,283.04 = 61,407.60 : x
  2. Step 2: Convert to fraction form
    106,722.74/147,283.04 = 61,407.60/x
  3. Step 3: Cross multiply
    106,722.74x = 147,283.04 × 61,407.60
  4. Step 4: Simplify right side
    106,722.74x = 9,044,298,160.62
  5. Step 5: Solve for x
    x = 9,044,298,160.62/106,722.74
  6. Step 6: Final answer
    x = 84,745.75

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1.5x scale

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.