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Finding the Fourth Proportional to 287,100.96, 430,673.44 and 87,438.32

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Solution

The fourth proportional to 287,100.96, 430,673.44 and 87,438.32 is: 131,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,100.96 : 430,673.44 = 87,438.32 : x
  2. Step 2: Convert to fraction form
    287,100.96/430,673.44 = 87,438.32/x
  3. Step 3: Cross multiply
    287,100.96x = 430,673.44 × 87,438.32
  4. Step 4: Simplify right side
    287,100.96x = 37,657,362,062.22
  5. Step 5: Solve for x
    x = 37,657,362,062.22/287,100.96
  6. Step 6: Final answer
    x = 131,164.18

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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.