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Finding the Fourth Proportional to 201,688.60, 302,532.90 and 145,701.40

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Solution

The fourth proportional to 201,688.60, 302,532.90 and 145,701.40 is: 218,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688.60 : 302,532.90 = 145,701.40 : x
  2. Step 2: Convert to fraction form
    201,688.60/302,532.90 = 145,701.40/x
  3. Step 3: Cross multiply
    201,688.60x = 302,532.90 × 145,701.40
  4. Step 4: Simplify right side
    201,688.60x = 44,079,467,076.06
  5. Step 5: Solve for x
    x = 44,079,467,076.06/201,688.60
  6. Step 6: Final answer
    x = 218,552.10

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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.