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Finding the Fourth Proportional to 55,915.60, 83,849.10 and 18,461.20

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Solution

The fourth proportional to 55,915.60, 83,849.10 and 18,461.20 is: 27,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,915.60 : 83,849.10 = 18,461.20 : x
  2. Step 2: Convert to fraction form
    55,915.60/83,849.10 = 18,461.20/x
  3. Step 3: Cross multiply
    55,915.60x = 83,849.10 × 18,461.20
  4. Step 4: Simplify right side
    55,915.60x = 1,547,955,004.92
  5. Step 5: Solve for x
    x = 1,547,955,004.92/55,915.60
  6. Step 6: Final answer
    x = 27,683.78

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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.