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Finding the Fourth Proportional to 100,153.96, 137,476 and 88,569.64

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Solution

The fourth proportional to 100,153.96, 137,476 and 88,569.64 is: 121,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,153.96 : 137,476 = 88,569.64 : x
  2. Step 2: Convert to fraction form
    100,153.96/137,476 = 88,569.64/x
  3. Step 3: Cross multiply
    100,153.96x = 137,476 × 88,569.64
  4. Step 4: Simplify right side
    100,153.96x = 12,176,199,828.64
  5. Step 5: Solve for x
    x = 12,176,199,828.64/100,153.96
  6. Step 6: Final answer
    x = 121,574.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.