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Finding the Fourth Proportional to 109,885.80, 164,925.90 and 94,139.40

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Solution

The fourth proportional to 109,885.80, 164,925.90 and 94,139.40 is: 141,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,885.80 : 164,925.90 = 94,139.40 : x
  2. Step 2: Convert to fraction form
    109,885.80/164,925.90 = 94,139.40/x
  3. Step 3: Cross multiply
    109,885.80x = 164,925.90 × 94,139.40
  4. Step 4: Simplify right side
    109,885.80x = 15,526,025,270.46
  5. Step 5: Solve for x
    x = 15,526,025,270.46/109,885.80
  6. Step 6: Final answer
    x = 141,292.37

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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.