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Finding the Fourth Proportional to 191,772.15, 287,688.60 and 65,424.30

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Solution

The fourth proportional to 191,772.15, 287,688.60 and 65,424.30 is: 98,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,772.15 : 287,688.60 = 65,424.30 : x
  2. Step 2: Convert to fraction form
    191,772.15/287,688.60 = 65,424.30/x
  3. Step 3: Cross multiply
    191,772.15x = 287,688.60 × 65,424.30
  4. Step 4: Simplify right side
    191,772.15x = 18,821,825,272.98
  5. Step 5: Solve for x
    x = 18,821,825,272.98/191,772.15
  6. Step 6: Final answer
    x = 98,146.81

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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.