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Finding the Fourth Proportional to 102,571.80, 153,857.70 and 83,909.40

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Solution

The fourth proportional to 102,571.80, 153,857.70 and 83,909.40 is: 125,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,571.80 : 153,857.70 = 83,909.40 : x
  2. Step 2: Convert to fraction form
    102,571.80/153,857.70 = 83,909.40/x
  3. Step 3: Cross multiply
    102,571.80x = 153,857.70 × 83,909.40
  4. Step 4: Simplify right side
    102,571.80x = 12,910,107,292.38
  5. Step 5: Solve for x
    x = 12,910,107,292.38/102,571.80
  6. Step 6: Final answer
    x = 125,864.10

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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.