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Finding the Fourth Proportional to 161,813.64, 242,712.90 and 56,656.20

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Solution

The fourth proportional to 161,813.64, 242,712.90 and 56,656.20 is: 84,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,813.64 : 242,712.90 = 56,656.20 : x
  2. Step 2: Convert to fraction form
    161,813.64/242,712.90 = 56,656.20/x
  3. Step 3: Cross multiply
    161,813.64x = 242,712.90 × 56,656.20
  4. Step 4: Simplify right side
    161,813.64x = 13,751,190,604.98
  5. Step 5: Solve for x
    x = 13,751,190,604.98/161,813.64
  6. Step 6: Final answer
    x = 84,981.65

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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.