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Finding the Fourth Proportional to 305,108.01, 457,641.50 and 105,431.13

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Solution

The fourth proportional to 305,108.01, 457,641.50 and 105,431.13 is: 158,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,108.01 : 457,641.50 = 105,431.13 : x
  2. Step 2: Convert to fraction form
    305,108.01/457,641.50 = 105,431.13/x
  3. Step 3: Cross multiply
    305,108.01x = 457,641.50 × 105,431.13
  4. Step 4: Simplify right side
    305,108.01x = 48,249,659,952.74
  5. Step 5: Solve for x
    x = 48,249,659,952.74/305,108.01
  6. Step 6: Final answer
    x = 158,139.60

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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.