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Finding the Fourth Proportional to 109,385.60, 164,114.80 and 39,270.40

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Solution

The fourth proportional to 109,385.60, 164,114.80 and 39,270.40 is: 58,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,385.60 : 164,114.80 = 39,270.40 : x
  2. Step 2: Convert to fraction form
    109,385.60/164,114.80 = 39,270.40/x
  3. Step 3: Cross multiply
    109,385.60x = 164,114.80 × 39,270.40
  4. Step 4: Simplify right side
    109,385.60x = 6,444,853,841.92
  5. Step 5: Solve for x
    x = 6,444,853,841.92/109,385.60
  6. Step 6: Final answer
    x = 58,918.67

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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.