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Finding the Fourth Proportional to 55,915.20, 83,918.70 and 55,477.80

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Solution

The fourth proportional to 55,915.20, 83,918.70 and 55,477.80 is: 83,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,915.20 : 83,918.70 = 55,477.80 : x
  2. Step 2: Convert to fraction form
    55,915.20/83,918.70 = 55,477.80/x
  3. Step 3: Cross multiply
    55,915.20x = 83,918.70 × 55,477.80
  4. Step 4: Simplify right side
    55,915.20x = 4,655,624,854.86
  5. Step 5: Solve for x
    x = 4,655,624,854.86/55,915.20
  6. Step 6: Final answer
    x = 83,262.24

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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.