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Finding the Fourth Proportional to 126,966, 175,213.08 and 70,386

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Solution

The fourth proportional to 126,966, 175,213.08 and 70,386 is: 97,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,966 : 175,213.08 = 70,386 : x
  2. Step 2: Convert to fraction form
    126,966/175,213.08 = 70,386/x
  3. Step 3: Cross multiply
    126,966x = 175,213.08 × 70,386
  4. Step 4: Simplify right side
    126,966x = 12,332,547,848.88
  5. Step 5: Solve for x
    x = 12,332,547,848.88/126,966
  6. Step 6: Final answer
    x = 97,132.68

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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.