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Finding the Fourth Proportional to 105,407.28, 158,078.40 and 55,460.28

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Solution

The fourth proportional to 105,407.28, 158,078.40 and 55,460.28 is: 83,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,407.28 : 158,078.40 = 55,460.28 : x
  2. Step 2: Convert to fraction form
    105,407.28/158,078.40 = 55,460.28/x
  3. Step 3: Cross multiply
    105,407.28x = 158,078.40 × 55,460.28
  4. Step 4: Simplify right side
    105,407.28x = 8,767,072,325.95
  5. Step 5: Solve for x
    x = 8,767,072,325.95/105,407.28
  6. Step 6: Final answer
    x = 83,173.31

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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.