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Finding the Fourth Proportional to 126,964, 175,210.32 and 70,384

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Solution

The fourth proportional to 126,964, 175,210.32 and 70,384 is: 97,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,964 : 175,210.32 = 70,384 : x
  2. Step 2: Convert to fraction form
    126,964/175,210.32 = 70,384/x
  3. Step 3: Cross multiply
    126,964x = 175,210.32 × 70,384
  4. Step 4: Simplify right side
    126,964x = 12,332,003,162.88
  5. Step 5: Solve for x
    x = 12,332,003,162.88/126,964
  6. Step 6: Final answer
    x = 97,129.92

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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.