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Finding the Fourth Proportional to 128,098.81, 192,265.39 and 64,962.51

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Solution

The fourth proportional to 128,098.81, 192,265.39 and 64,962.51 is: 97,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,098.81 : 192,265.39 = 64,962.51 : x
  2. Step 2: Convert to fraction form
    128,098.81/192,265.39 = 64,962.51/x
  3. Step 3: Cross multiply
    128,098.81x = 192,265.39 × 64,962.51
  4. Step 4: Simplify right side
    128,098.81x = 12,490,042,320.53
  5. Step 5: Solve for x
    x = 12,490,042,320.53/128,098.81
  6. Step 6: Final answer
    x = 97,503.19

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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.