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Finding the Fourth Proportional to 162,159.60, 242,583.30 and 142,476.60

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Solution

The fourth proportional to 162,159.60, 242,583.30 and 142,476.60 is: 213,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,159.60 : 242,583.30 = 142,476.60 : x
  2. Step 2: Convert to fraction form
    162,159.60/242,583.30 = 142,476.60/x
  3. Step 3: Cross multiply
    162,159.60x = 242,583.30 × 142,476.60
  4. Step 4: Simplify right side
    162,159.60x = 34,562,443,800.78
  5. Step 5: Solve for x
    x = 34,562,443,800.78/162,159.60
  6. Step 6: Final answer
    x = 213,138.44

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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.