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Finding the Fourth Proportional to 105,915, 158,830.96 and 38,431

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Solution

The fourth proportional to 105,915, 158,830.96 and 38,431 is: 57,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,915 : 158,830.96 = 38,431 : x
  2. Step 2: Convert to fraction form
    105,915/158,830.96 = 38,431/x
  3. Step 3: Cross multiply
    105,915x = 158,830.96 × 38,431
  4. Step 4: Simplify right side
    105,915x = 6,104,032,623.76
  5. Step 5: Solve for x
    x = 6,104,032,623.76/105,915
  6. Step 6: Final answer
    x = 57,631.43

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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.