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Finding the Fourth Proportional to 105,155.87, 145,115.69 and 57,409.70

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Solution

The fourth proportional to 105,155.87, 145,115.69 and 57,409.70 is: 79,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,155.87 : 145,115.69 = 57,409.70 : x
  2. Step 2: Convert to fraction form
    105,155.87/145,115.69 = 57,409.70/x
  3. Step 3: Cross multiply
    105,155.87x = 145,115.69 × 57,409.70
  4. Step 4: Simplify right side
    105,155.87x = 8,331,047,215.57
  5. Step 5: Solve for x
    x = 8,331,047,215.57/105,155.87
  6. Step 6: Final answer
    x = 79,225.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.