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Finding the Fourth Proportional to 109,216.40, 163,824.60 and 64,820.30

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Solution

The fourth proportional to 109,216.40, 163,824.60 and 64,820.30 is: 97,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,216.40 : 163,824.60 = 64,820.30 : x
  2. Step 2: Convert to fraction form
    109,216.40/163,824.60 = 64,820.30/x
  3. Step 3: Cross multiply
    109,216.40x = 163,824.60 × 64,820.30
  4. Step 4: Simplify right side
    109,216.40x = 10,619,159,719.38
  5. Step 5: Solve for x
    x = 10,619,159,719.38/109,216.40
  6. Step 6: Final answer
    x = 97,230.45

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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.