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Finding the Fourth Proportional to 128,070, 192,106.08 and 44,964

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Solution

The fourth proportional to 128,070, 192,106.08 and 44,964 is: 67,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,070 : 192,106.08 = 44,964 : x
  2. Step 2: Convert to fraction form
    128,070/192,106.08 = 44,964/x
  3. Step 3: Cross multiply
    128,070x = 192,106.08 × 44,964
  4. Step 4: Simplify right side
    128,070x = 8,637,857,781.12
  5. Step 5: Solve for x
    x = 8,637,857,781.12/128,070
  6. Step 6: Final answer
    x = 67,446.38

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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.