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Finding the Fourth Proportional to 145,928, 201,380.64 and 78,860

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Solution

The fourth proportional to 145,928, 201,380.64 and 78,860 is: 108,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,928 : 201,380.64 = 78,860 : x
  2. Step 2: Convert to fraction form
    145,928/201,380.64 = 78,860/x
  3. Step 3: Cross multiply
    145,928x = 201,380.64 × 78,860
  4. Step 4: Simplify right side
    145,928x = 15,880,877,270.40
  5. Step 5: Solve for x
    x = 15,880,877,270.40/145,928
  6. Step 6: Final answer
    x = 108,826.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.