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Finding the Fourth Proportional to 109,661.10, 164,491.65 and 83,417.10

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Solution

The fourth proportional to 109,661.10, 164,491.65 and 83,417.10 is: 125,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,661.10 : 164,491.65 = 83,417.10 : x
  2. Step 2: Convert to fraction form
    109,661.10/164,491.65 = 83,417.10/x
  3. Step 3: Cross multiply
    109,661.10x = 164,491.65 × 83,417.10
  4. Step 4: Simplify right side
    109,661.10x = 13,721,416,417.22
  5. Step 5: Solve for x
    x = 13,721,416,417.22/109,661.10
  6. Step 6: Final answer
    x = 125,125.65

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1.5x scale

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.