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Finding the Fourth Proportional to 128,461.20, 177,281.64 and 71,869.20

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Solution

The fourth proportional to 128,461.20, 177,281.64 and 71,869.20 is: 99,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,461.20 : 177,281.64 = 71,869.20 : x
  2. Step 2: Convert to fraction form
    128,461.20/177,281.64 = 71,869.20/x
  3. Step 3: Cross multiply
    128,461.20x = 177,281.64 × 71,869.20
  4. Step 4: Simplify right side
    128,461.20x = 12,741,089,641.49
  5. Step 5: Solve for x
    x = 12,741,089,641.49/128,461.20
  6. Step 6: Final answer
    x = 99,182.40

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1.5x scale

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.