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Finding the Fourth Proportional to 142,509.85, 196,632.97 and 85,920.01

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Solution

The fourth proportional to 142,509.85, 196,632.97 and 85,920.01 is: 118,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,509.85 : 196,632.97 = 85,920.01 : x
  2. Step 2: Convert to fraction form
    142,509.85/196,632.97 = 85,920.01/x
  3. Step 3: Cross multiply
    142,509.85x = 196,632.97 × 85,920.01
  4. Step 4: Simplify right side
    142,509.85x = 16,894,706,748.73
  5. Step 5: Solve for x
    x = 16,894,706,748.73/142,509.85
  6. Step 6: Final answer
    x = 118,551.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.