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Finding the Fourth Proportional to 145,528.48, 218,376.44 and 61,282

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Solution

The fourth proportional to 145,528.48, 218,376.44 and 61,282 is: 91,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,528.48 : 218,376.44 = 61,282 : x
  2. Step 2: Convert to fraction form
    145,528.48/218,376.44 = 61,282/x
  3. Step 3: Cross multiply
    145,528.48x = 218,376.44 × 61,282
  4. Step 4: Simplify right side
    145,528.48x = 13,382,544,996.08
  5. Step 5: Solve for x
    x = 13,382,544,996.08/145,528.48
  6. Step 6: Final answer
    x = 91,958.25

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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.