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Finding the Fourth Proportional to 145,901.92, 218,567.20 and 130,033.48

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Solution

The fourth proportional to 145,901.92, 218,567.20 and 130,033.48 is: 194,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,901.92 : 218,567.20 = 130,033.48 : x
  2. Step 2: Convert to fraction form
    145,901.92/218,567.20 = 130,033.48/x
  3. Step 3: Cross multiply
    145,901.92x = 218,567.20 × 130,033.48
  4. Step 4: Simplify right side
    145,901.92x = 28,421,053,629.86
  5. Step 5: Solve for x
    x = 28,421,053,629.86/145,901.92
  6. Step 6: Final answer
    x = 194,795.61

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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.