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Finding the Fourth Proportional to 145,885.50, 201,322.02 and 78,817.50

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Solution

The fourth proportional to 145,885.50, 201,322.02 and 78,817.50 is: 108,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,885.50 : 201,322.02 = 78,817.50 : x
  2. Step 2: Convert to fraction form
    145,885.50/201,322.02 = 78,817.50/x
  3. Step 3: Cross multiply
    145,885.50x = 201,322.02 × 78,817.50
  4. Step 4: Simplify right side
    145,885.50x = 15,867,698,311.35
  5. Step 5: Solve for x
    x = 15,867,698,311.35/145,885.50
  6. Step 6: Final answer
    x = 108,768.17

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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.