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Finding the Fourth Proportional to 242,854.21, 364,060.77 and 84,996.55

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Solution

The fourth proportional to 242,854.21, 364,060.77 and 84,996.55 is: 127,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,854.21 : 364,060.77 = 84,996.55 : x
  2. Step 2: Convert to fraction form
    242,854.21/364,060.77 = 84,996.55/x
  3. Step 3: Cross multiply
    242,854.21x = 364,060.77 × 84,996.55
  4. Step 4: Simplify right side
    242,854.21x = 30,943,909,440.34
  5. Step 5: Solve for x
    x = 30,943,909,440.34/242,854.21
  6. Step 6: Final answer
    x = 127,417.64

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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.