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Finding the Fourth Proportional to 161,783.20, 242,577.60 and 83,051.20

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Solution

The fourth proportional to 161,783.20, 242,577.60 and 83,051.20 is: 124,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,783.20 : 242,577.60 = 83,051.20 : x
  2. Step 2: Convert to fraction form
    161,783.20/242,577.60 = 83,051.20/x
  3. Step 3: Cross multiply
    161,783.20x = 242,577.60 × 83,051.20
  4. Step 4: Simplify right side
    161,783.20x = 20,146,360,773.12
  5. Step 5: Solve for x
    x = 20,146,360,773.12/161,783.20
  6. Step 6: Final answer
    x = 124,526.90

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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.