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Finding the Fourth Proportional to 185,421.40, 278,132.10 and 165,738.40

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Solution

The fourth proportional to 185,421.40, 278,132.10 and 165,738.40 is: 248,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,421.40 : 278,132.10 = 165,738.40 : x
  2. Step 2: Convert to fraction form
    185,421.40/278,132.10 = 165,738.40/x
  3. Step 3: Cross multiply
    185,421.40x = 278,132.10 × 165,738.40
  4. Step 4: Simplify right side
    185,421.40x = 46,097,169,242.64
  5. Step 5: Solve for x
    x = 46,097,169,242.64/185,421.40
  6. Step 6: Final answer
    x = 248,607.60

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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.