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Finding the Fourth Proportional to 201,628.80, 302,430.96 and 89,276.16

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Solution

The fourth proportional to 201,628.80, 302,430.96 and 89,276.16 is: 133,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,628.80 : 302,430.96 = 89,276.16 : x
  2. Step 2: Convert to fraction form
    201,628.80/302,430.96 = 89,276.16/x
  3. Step 3: Cross multiply
    201,628.80x = 302,430.96 × 89,276.16
  4. Step 4: Simplify right side
    201,628.80x = 26,999,874,773.91
  5. Step 5: Solve for x
    x = 26,999,874,773.91/201,628.80
  6. Step 6: Final answer
    x = 133,908.82

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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.