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Finding the Fourth Proportional to 191,307.60, 286,961.40 and 161,783.10

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Solution

The fourth proportional to 191,307.60, 286,961.40 and 161,783.10 is: 242,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,307.60 : 286,961.40 = 161,783.10 : x
  2. Step 2: Convert to fraction form
    191,307.60/286,961.40 = 161,783.10/x
  3. Step 3: Cross multiply
    191,307.60x = 286,961.40 × 161,783.10
  4. Step 4: Simplify right side
    191,307.60x = 46,425,504,872.34
  5. Step 5: Solve for x
    x = 46,425,504,872.34/191,307.60
  6. Step 6: Final answer
    x = 242,674.65

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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.