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Finding the Fourth Proportional to 155,885.94, 233,678.54 and 71,703.77

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Solution

The fourth proportional to 155,885.94, 233,678.54 and 71,703.77 is: 107,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,885.94 : 233,678.54 = 71,703.77 : x
  2. Step 2: Convert to fraction form
    155,885.94/233,678.54 = 71,703.77/x
  3. Step 3: Cross multiply
    155,885.94x = 233,678.54 × 71,703.77
  4. Step 4: Simplify right side
    155,885.94x = 16,755,631,296.96
  5. Step 5: Solve for x
    x = 16,755,631,296.96/155,885.94
  6. Step 6: Final answer
    x = 107,486.48

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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.