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Finding the Fourth Proportional to 128,358.64, 177,134.92 and 71,770

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Solution

The fourth proportional to 128,358.64, 177,134.92 and 71,770 is: 99,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,358.64 : 177,134.92 = 71,770 : x
  2. Step 2: Convert to fraction form
    128,358.64/177,134.92 = 71,770/x
  3. Step 3: Cross multiply
    128,358.64x = 177,134.92 × 71,770
  4. Step 4: Simplify right side
    128,358.64x = 12,712,973,208.40
  5. Step 5: Solve for x
    x = 12,712,973,208.40/128,358.64
  6. Step 6: Final answer
    x = 99,042.60

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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.