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Finding the Fourth Proportional to 103,977.60, 155,966.40 and 56,738.40

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Solution

The fourth proportional to 103,977.60, 155,966.40 and 56,738.40 is: 85,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977.60 : 155,966.40 = 56,738.40 : x
  2. Step 2: Convert to fraction form
    103,977.60/155,966.40 = 56,738.40/x
  3. Step 3: Cross multiply
    103,977.60x = 155,966.40 × 56,738.40
  4. Step 4: Simplify right side
    103,977.60x = 8,849,283,989.76
  5. Step 5: Solve for x
    x = 8,849,283,989.76/103,977.60
  6. Step 6: Final answer
    x = 85,107.60

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1.5x scale

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.