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Finding the Fourth Proportional to 191,907.90, 287,388.78 and 120,653.76

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Solution

The fourth proportional to 191,907.90, 287,388.78 and 120,653.76 is: 180,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,907.90 : 287,388.78 = 120,653.76 : x
  2. Step 2: Convert to fraction form
    191,907.90/287,388.78 = 120,653.76/x
  3. Step 3: Cross multiply
    191,907.90x = 287,388.78 × 120,653.76
  4. Step 4: Simplify right side
    191,907.90x = 34,674,537,966.52
  5. Step 5: Solve for x
    x = 34,674,537,966.52/191,907.90
  6. Step 6: Final answer
    x = 180,683.23

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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.