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Finding the Fourth Proportional to 106,401.60, 159,602.40 and 91,311.30

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Solution

The fourth proportional to 106,401.60, 159,602.40 and 91,311.30 is: 136,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,401.60 : 159,602.40 = 91,311.30 : x
  2. Step 2: Convert to fraction form
    106,401.60/159,602.40 = 91,311.30/x
  3. Step 3: Cross multiply
    106,401.60x = 159,602.40 × 91,311.30
  4. Step 4: Simplify right side
    106,401.60x = 14,573,502,627.12
  5. Step 5: Solve for x
    x = 14,573,502,627.12/106,401.60
  6. Step 6: Final answer
    x = 136,966.95

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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.