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Finding the Fourth Proportional to 85,952.34, 128,928.31 and 48,495.40

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Solution

The fourth proportional to 85,952.34, 128,928.31 and 48,495.40 is: 72,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,952.34 : 128,928.31 = 48,495.40 : x
  2. Step 2: Convert to fraction form
    85,952.34/128,928.31 = 48,495.40/x
  3. Step 3: Cross multiply
    85,952.34x = 128,928.31 × 48,495.40
  4. Step 4: Simplify right side
    85,952.34x = 6,252,429,964.77
  5. Step 5: Solve for x
    x = 6,252,429,964.77/85,952.34
  6. Step 6: Final answer
    x = 72,742.99

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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.