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Finding the Fourth Proportional to 178,004.21, 266,818.59 and 121,829.29

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Solution

The fourth proportional to 178,004.21, 266,818.59 and 121,829.29 is: 182,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,004.21 : 266,818.59 = 121,829.29 : x
  2. Step 2: Convert to fraction form
    178,004.21/266,818.59 = 121,829.29/x
  3. Step 3: Cross multiply
    178,004.21x = 266,818.59 × 121,829.29
  4. Step 4: Simplify right side
    178,004.21x = 32,506,318,711.45
  5. Step 5: Solve for x
    x = 32,506,318,711.45/178,004.21
  6. Step 6: Final answer
    x = 182,615.45

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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.