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Finding the Fourth Proportional to 101,330.64, 151,914.12 and 42,210.84

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Solution

The fourth proportional to 101,330.64, 151,914.12 and 42,210.84 is: 63,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,330.64 : 151,914.12 = 42,210.84 : x
  2. Step 2: Convert to fraction form
    101,330.64/151,914.12 = 42,210.84/x
  3. Step 3: Cross multiply
    101,330.64x = 151,914.12 × 42,210.84
  4. Step 4: Simplify right side
    101,330.64x = 6,412,422,613.06
  5. Step 5: Solve for x
    x = 6,412,422,613.06/101,330.64
  6. Step 6: Final answer
    x = 63,282.17

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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.