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Finding the Fourth Proportional to 191,711.80, 287,567.70 and 135,724.60

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Solution

The fourth proportional to 191,711.80, 287,567.70 and 135,724.60 is: 203,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,711.80 : 287,567.70 = 135,724.60 : x
  2. Step 2: Convert to fraction form
    191,711.80/287,567.70 = 135,724.60/x
  3. Step 3: Cross multiply
    191,711.80x = 287,567.70 × 135,724.60
  4. Step 4: Simplify right side
    191,711.80x = 39,030,011,055.42
  5. Step 5: Solve for x
    x = 39,030,011,055.42/191,711.80
  6. Step 6: Final answer
    x = 203,586.90

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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.