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Finding the Fourth Proportional to 253,426.82, 380,152.80 and 75,916.89

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Solution

The fourth proportional to 253,426.82, 380,152.80 and 75,916.89 is: 113,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,426.82 : 380,152.80 = 75,916.89 : x
  2. Step 2: Convert to fraction form
    253,426.82/380,152.80 = 75,916.89/x
  3. Step 3: Cross multiply
    253,426.82x = 380,152.80 × 75,916.89
  4. Step 4: Simplify right side
    253,426.82x = 28,860,018,300.79
  5. Step 5: Solve for x
    x = 28,860,018,300.79/253,426.82
  6. Step 6: Final answer
    x = 113,879.10

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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.