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Finding the Fourth Proportional to 191,419.62, 287,188.29 and 97,990.98

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Solution

The fourth proportional to 191,419.62, 287,188.29 and 97,990.98 is: 147,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,419.62 : 287,188.29 = 97,990.98 : x
  2. Step 2: Convert to fraction form
    191,419.62/287,188.29 = 97,990.98/x
  3. Step 3: Cross multiply
    191,419.62x = 287,188.29 × 97,990.98
  4. Step 4: Simplify right side
    191,419.62x = 28,141,861,981.62
  5. Step 5: Solve for x
    x = 28,141,861,981.62/191,419.62
  6. Step 6: Final answer
    x = 147,016.60

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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.