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Finding the Fourth Proportional to 191,983.40, 287,750.84 and 144,445.76

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Solution

The fourth proportional to 191,983.40, 287,750.84 and 144,445.76 is: 216,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,983.40 : 287,750.84 = 144,445.76 : x
  2. Step 2: Convert to fraction form
    191,983.40/287,750.84 = 144,445.76/x
  3. Step 3: Cross multiply
    191,983.40x = 287,750.84 × 144,445.76
  4. Step 4: Simplify right side
    191,983.40x = 41,564,388,774.44
  5. Step 5: Solve for x
    x = 41,564,388,774.44/191,983.40
  6. Step 6: Final answer
    x = 216,499.91

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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.