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Finding the Fourth Proportional to 162,308.40, 243,754.20 and 117,985.20

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Solution

The fourth proportional to 162,308.40, 243,754.20 and 117,985.20 is: 177,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,308.40 : 243,754.20 = 117,985.20 : x
  2. Step 2: Convert to fraction form
    162,308.40/243,754.20 = 117,985.20/x
  3. Step 3: Cross multiply
    162,308.40x = 243,754.20 × 117,985.20
  4. Step 4: Simplify right side
    162,308.40x = 28,759,388,037.84
  5. Step 5: Solve for x
    x = 28,759,388,037.84/162,308.40
  6. Step 6: Final answer
    x = 177,189.77

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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.