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Finding the Fourth Proportional to 191,772.73, 287,459.52 and 107,409.20

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Solution

The fourth proportional to 191,772.73, 287,459.52 and 107,409.20 is: 161,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,772.73 : 287,459.52 = 107,409.20 : x
  2. Step 2: Convert to fraction form
    191,772.73/287,459.52 = 107,409.20/x
  3. Step 3: Cross multiply
    191,772.73x = 287,459.52 × 107,409.20
  4. Step 4: Simplify right side
    191,772.73x = 30,875,797,075.58
  5. Step 5: Solve for x
    x = 30,875,797,075.58/191,772.73
  6. Step 6: Final answer
    x = 161,002.02

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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.