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Finding the Fourth Proportional to 287,123.50, 430,688.90 and 100,135

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Solution

The fourth proportional to 287,123.50, 430,688.90 and 100,135 is: 150,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,123.50 : 430,688.90 = 100,135 : x
  2. Step 2: Convert to fraction form
    287,123.50/430,688.90 = 100,135/x
  3. Step 3: Cross multiply
    287,123.50x = 430,688.90 × 100,135
  4. Step 4: Simplify right side
    287,123.50x = 43,127,033,001.50
  5. Step 5: Solve for x
    x = 43,127,033,001.50/287,123.50
  6. Step 6: Final answer
    x = 150,203.77

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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.