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Finding the Fourth Proportional to 177,225.76, 265,760.88 and 66,340

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Solution

The fourth proportional to 177,225.76, 265,760.88 and 66,340 is: 99,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,225.76 : 265,760.88 = 66,340 : x
  2. Step 2: Convert to fraction form
    177,225.76/265,760.88 = 66,340/x
  3. Step 3: Cross multiply
    177,225.76x = 265,760.88 × 66,340
  4. Step 4: Simplify right side
    177,225.76x = 17,630,576,779.20
  5. Step 5: Solve for x
    x = 17,630,576,779.20/177,225.76
  6. Step 6: Final answer
    x = 99,480.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.