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Finding the Fourth Proportional to 243,152.82, 364,747.05 and 65,655.90

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Solution

The fourth proportional to 243,152.82, 364,747.05 and 65,655.90 is: 98,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,152.82 : 364,747.05 = 65,655.90 : x
  2. Step 2: Convert to fraction form
    243,152.82/364,747.05 = 65,655.90/x
  3. Step 3: Cross multiply
    243,152.82x = 364,747.05 × 65,655.90
  4. Step 4: Simplify right side
    243,152.82x = 23,947,795,840.10
  5. Step 5: Solve for x
    x = 23,947,795,840.10/243,152.82
  6. Step 6: Final answer
    x = 98,488.66

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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.