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Finding the Fourth Proportional to 287,139.70, 430,709.55 and 100,151.20

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Solution

The fourth proportional to 287,139.70, 430,709.55 and 100,151.20 is: 150,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,139.70 : 430,709.55 = 100,151.20 : x
  2. Step 2: Convert to fraction form
    287,139.70/430,709.55 = 100,151.20/x
  3. Step 3: Cross multiply
    287,139.70x = 430,709.55 × 100,151.20
  4. Step 4: Simplify right side
    287,139.70x = 43,136,078,283.96
  5. Step 5: Solve for x
    x = 43,136,078,283.96/287,139.70
  6. Step 6: Final answer
    x = 150,226.80

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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.