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Finding the Fourth Proportional to 243,271.92, 364,663.72 and 100,923.60

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Solution

The fourth proportional to 243,271.92, 364,663.72 and 100,923.60 is: 151,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,271.92 : 364,663.72 = 100,923.60 : x
  2. Step 2: Convert to fraction form
    243,271.92/364,663.72 = 100,923.60/x
  3. Step 3: Cross multiply
    243,271.92x = 364,663.72 × 100,923.60
  4. Step 4: Simplify right side
    243,271.92x = 36,803,175,411.79
  5. Step 5: Solve for x
    x = 36,803,175,411.79/243,271.92
  6. Step 6: Final answer
    x = 151,284.11

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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.