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Finding the Fourth Proportional to 255,881.61, 383,443.34 and 103,893.87

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Solution

The fourth proportional to 255,881.61, 383,443.34 and 103,893.87 is: 155,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,881.61 : 383,443.34 = 103,893.87 : x
  2. Step 2: Convert to fraction form
    255,881.61/383,443.34 = 103,893.87/x
  3. Step 3: Cross multiply
    255,881.61x = 383,443.34 × 103,893.87
  4. Step 4: Simplify right side
    255,881.61x = 39,837,411,559.72
  5. Step 5: Solve for x
    x = 39,837,411,559.72/255,881.61
  6. Step 6: Final answer
    x = 155,686.89

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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.