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Finding the Fourth Proportional to 126,705.76, 174,853.20 and 72,970.72

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Solution

The fourth proportional to 126,705.76, 174,853.20 and 72,970.72 is: 100,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,705.76 : 174,853.20 = 72,970.72 : x
  2. Step 2: Convert to fraction form
    126,705.76/174,853.20 = 72,970.72/x
  3. Step 3: Cross multiply
    126,705.76x = 174,853.20 × 72,970.72
  4. Step 4: Simplify right side
    126,705.76x = 12,759,163,898.30
  5. Step 5: Solve for x
    x = 12,759,163,898.30/126,705.76
  6. Step 6: Final answer
    x = 100,699.16

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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.