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Finding the Fourth Proportional to 109,875.60, 164,813.40 and 64,969.20

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Solution

The fourth proportional to 109,875.60, 164,813.40 and 64,969.20 is: 97,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,875.60 : 164,813.40 = 64,969.20 : x
  2. Step 2: Convert to fraction form
    109,875.60/164,813.40 = 64,969.20/x
  3. Step 3: Cross multiply
    109,875.60x = 164,813.40 × 64,969.20
  4. Step 4: Simplify right side
    109,875.60x = 10,707,794,747.28
  5. Step 5: Solve for x
    x = 10,707,794,747.28/109,875.60
  6. Step 6: Final answer
    x = 97,453.80

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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.