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Finding the Fourth Proportional to 107,142.40, 160,700.64 and 28,262.98

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Solution

The fourth proportional to 107,142.40, 160,700.64 and 28,262.98 is: 42,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,142.40 : 160,700.64 = 28,262.98 : x
  2. Step 2: Convert to fraction form
    107,142.40/160,700.64 = 28,262.98/x
  3. Step 3: Cross multiply
    107,142.40x = 160,700.64 × 28,262.98
  4. Step 4: Simplify right side
    107,142.40x = 4,541,878,974.31
  5. Step 5: Solve for x
    x = 4,541,878,974.31/107,142.40
  6. Step 6: Final answer
    x = 42,391.05

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1.5x scale

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.