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Finding the Fourth Proportional to 107,155.64, 147,990.30 and 83,564.12

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Solution

The fourth proportional to 107,155.64, 147,990.30 and 83,564.12 is: 115,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,155.64 : 147,990.30 = 83,564.12 : x
  2. Step 2: Convert to fraction form
    107,155.64/147,990.30 = 83,564.12/x
  3. Step 3: Cross multiply
    107,155.64x = 147,990.30 × 83,564.12
  4. Step 4: Simplify right side
    107,155.64x = 12,366,679,188.04
  5. Step 5: Solve for x
    x = 12,366,679,188.04/107,155.64
  6. Step 6: Final answer
    x = 115,408.57

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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.