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Finding the Fourth Proportional to 201,877.60, 302,853.12 and 83,484.64

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Solution

The fourth proportional to 201,877.60, 302,853.12 and 83,484.64 is: 125,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,877.60 : 302,853.12 = 83,484.64 : x
  2. Step 2: Convert to fraction form
    201,877.60/302,853.12 = 83,484.64/x
  3. Step 3: Cross multiply
    201,877.60x = 302,853.12 × 83,484.64
  4. Step 4: Simplify right side
    201,877.60x = 25,283,583,696.08
  5. Step 5: Solve for x
    x = 25,283,583,696.08/201,877.60
  6. Step 6: Final answer
    x = 125,242.15

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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.