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Finding the Fourth Proportional to 287,762.76, 431,381.16 and 100,672.20

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Solution

The fourth proportional to 287,762.76, 431,381.16 and 100,672.20 is: 150,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,762.76 : 431,381.16 = 100,672.20 : x
  2. Step 2: Convert to fraction form
    287,762.76/431,381.16 = 100,672.20/x
  3. Step 3: Cross multiply
    287,762.76x = 431,381.16 × 100,672.20
  4. Step 4: Simplify right side
    287,762.76x = 43,428,090,415.75
  5. Step 5: Solve for x
    x = 43,428,090,415.75/287,762.76
  6. Step 6: Final answer
    x = 150,916.30

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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.