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Finding the Fourth Proportional to 85,695.36, 128,319.36 and 68,964

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Solution

The fourth proportional to 85,695.36, 128,319.36 and 68,964 is: 103,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,695.36 : 128,319.36 = 68,964 : x
  2. Step 2: Convert to fraction form
    85,695.36/128,319.36 = 68,964/x
  3. Step 3: Cross multiply
    85,695.36x = 128,319.36 × 68,964
  4. Step 4: Simplify right side
    85,695.36x = 8,849,416,343.04
  5. Step 5: Solve for x
    x = 8,849,416,343.04/85,695.36
  6. Step 6: Final answer
    x = 103,265.99

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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.