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Finding the Fourth Proportional to 107,153.64, 147,987.54 and 83,562.12

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Solution

The fourth proportional to 107,153.64, 147,987.54 and 83,562.12 is: 115,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,153.64 : 147,987.54 = 83,562.12 : x
  2. Step 2: Convert to fraction form
    107,153.64/147,987.54 = 83,562.12/x
  3. Step 3: Cross multiply
    107,153.64x = 147,987.54 × 83,562.12
  4. Step 4: Simplify right side
    107,153.64x = 12,366,152,575.98
  5. Step 5: Solve for x
    x = 12,366,152,575.98/107,153.64
  6. Step 6: Final answer
    x = 115,405.81

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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.