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Finding the Fourth Proportional to 128,580.30, 192,898.02 and 65,409.24

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Solution

The fourth proportional to 128,580.30, 192,898.02 and 65,409.24 is: 98,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,580.30 : 192,898.02 = 65,409.24 : x
  2. Step 2: Convert to fraction form
    128,580.30/192,898.02 = 65,409.24/x
  3. Step 3: Cross multiply
    128,580.30x = 192,898.02 × 65,409.24
  4. Step 4: Simplify right side
    128,580.30x = 12,617,312,885.70
  5. Step 5: Solve for x
    x = 12,617,312,885.70/128,580.30
  6. Step 6: Final answer
    x = 98,127.88

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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.