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Finding the Fourth Proportional to 128,772.54, 177,646.14 and 83,465.19

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Solution

The fourth proportional to 128,772.54, 177,646.14 and 83,465.19 is: 115,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,772.54 : 177,646.14 = 83,465.19 : x
  2. Step 2: Convert to fraction form
    128,772.54/177,646.14 = 83,465.19/x
  3. Step 3: Cross multiply
    128,772.54x = 177,646.14 × 83,465.19
  4. Step 4: Simplify right side
    128,772.54x = 14,827,268,827.87
  5. Step 5: Solve for x
    x = 14,827,268,827.87/128,772.54
  6. Step 6: Final answer
    x = 115,143.10

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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.