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Finding the Fourth Proportional to 103,878.40, 155,587.20 and 54,572.80

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Solution

The fourth proportional to 103,878.40, 155,587.20 and 54,572.80 is: 81,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,878.40 : 155,587.20 = 54,572.80 : x
  2. Step 2: Convert to fraction form
    103,878.40/155,587.20 = 54,572.80/x
  3. Step 3: Cross multiply
    103,878.40x = 155,587.20 × 54,572.80
  4. Step 4: Simplify right side
    103,878.40x = 8,490,829,148.16
  5. Step 5: Solve for x
    x = 8,490,829,148.16/103,878.40
  6. Step 6: Final answer
    x = 81,738.16

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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.