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Finding the Fourth Proportional to 145,909.50, 218,864.25 and 35,101.50

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Solution

The fourth proportional to 145,909.50, 218,864.25 and 35,101.50 is: 52,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,909.50 : 218,864.25 = 35,101.50 : x
  2. Step 2: Convert to fraction form
    145,909.50/218,864.25 = 35,101.50/x
  3. Step 3: Cross multiply
    145,909.50x = 218,864.25 × 35,101.50
  4. Step 4: Simplify right side
    145,909.50x = 7,682,463,471.38
  5. Step 5: Solve for x
    x = 7,682,463,471.38/145,909.50
  6. Step 6: Final answer
    x = 52,652.25

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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.