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Finding the Fourth Proportional to 287,146.09, 430,916.24 and 100,157.59

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Solution

The fourth proportional to 287,146.09, 430,916.24 and 100,157.59 is: 150,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,146.09 : 430,916.24 = 100,157.59 : x
  2. Step 2: Convert to fraction form
    287,146.09/430,916.24 = 100,157.59/x
  3. Step 3: Cross multiply
    287,146.09x = 430,916.24 × 100,157.59
  4. Step 4: Simplify right side
    287,146.09x = 43,159,532,090.26
  5. Step 5: Solve for x
    x = 43,159,532,090.26/287,146.09
  6. Step 6: Final answer
    x = 150,305.14

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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.