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Finding the Fourth Proportional to 201,689.64, 302,534.40 and 75,339.76

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Solution

The fourth proportional to 201,689.64, 302,534.40 and 75,339.76 is: 113,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,689.64 : 302,534.40 = 75,339.76 : x
  2. Step 2: Convert to fraction form
    201,689.64/302,534.40 = 75,339.76/x
  3. Step 3: Cross multiply
    201,689.64x = 302,534.40 × 75,339.76
  4. Step 4: Simplify right side
    201,689.64x = 22,792,869,087.74
  5. Step 5: Solve for x
    x = 22,792,869,087.74/201,689.64
  6. Step 6: Final answer
    x = 113,009.62

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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.