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Finding the Fourth Proportional to 255,038.20, 382,703.10 and 97,379.80

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Solution

The fourth proportional to 255,038.20, 382,703.10 and 97,379.80 is: 146,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,038.20 : 382,703.10 = 97,379.80 : x
  2. Step 2: Convert to fraction form
    255,038.20/382,703.10 = 97,379.80/x
  3. Step 3: Cross multiply
    255,038.20x = 382,703.10 × 97,379.80
  4. Step 4: Simplify right side
    255,038.20x = 37,267,551,337.38
  5. Step 5: Solve for x
    x = 37,267,551,337.38/255,038.20
  6. Step 6: Final answer
    x = 146,125.37

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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.