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Finding the Fourth Proportional to 109,041.40, 163,586.40 and 85,421.80

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Solution

The fourth proportional to 109,041.40, 163,586.40 and 85,421.80 is: 128,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,041.40 : 163,586.40 = 85,421.80 : x
  2. Step 2: Convert to fraction form
    109,041.40/163,586.40 = 85,421.80/x
  3. Step 3: Cross multiply
    109,041.40x = 163,586.40 × 85,421.80
  4. Step 4: Simplify right side
    109,041.40x = 13,973,844,743.52
  5. Step 5: Solve for x
    x = 13,973,844,743.52/109,041.40
  6. Step 6: Final answer
    x = 128,151.74

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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.