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Finding the Fourth Proportional to 216,098.47, 298,254.92 and 128,889.16

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Solution

The fourth proportional to 216,098.47, 298,254.92 and 128,889.16 is: 177,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,098.47 : 298,254.92 = 128,889.16 : x
  2. Step 2: Convert to fraction form
    216,098.47/298,254.92 = 128,889.16/x
  3. Step 3: Cross multiply
    216,098.47x = 298,254.92 × 128,889.16
  4. Step 4: Simplify right side
    216,098.47x = 38,441,826,104.67
  5. Step 5: Solve for x
    x = 38,441,826,104.67/216,098.47
  6. Step 6: Final answer
    x = 177,890.32

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1.5x scale

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.