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Finding the Fourth Proportional to 128,502, 177,328.92 and 71,143.68

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Solution

The fourth proportional to 128,502, 177,328.92 and 71,143.68 is: 98,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,502 : 177,328.92 = 71,143.68 : x
  2. Step 2: Convert to fraction form
    128,502/177,328.92 = 71,143.68/x
  3. Step 3: Cross multiply
    128,502x = 177,328.92 × 71,143.68
  4. Step 4: Simplify right side
    128,502x = 12,615,831,939.23
  5. Step 5: Solve for x
    x = 12,615,831,939.23/128,502
  6. Step 6: Final answer
    x = 98,176.15

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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.