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Finding the Fourth Proportional to 99,141.84, 136,816.80 and 53,820.24

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Solution

The fourth proportional to 99,141.84, 136,816.80 and 53,820.24 is: 74,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,141.84 : 136,816.80 = 53,820.24 : x
  2. Step 2: Convert to fraction form
    99,141.84/136,816.80 = 53,820.24/x
  3. Step 3: Cross multiply
    99,141.84x = 136,816.80 × 53,820.24
  4. Step 4: Simplify right side
    99,141.84x = 7,363,513,012.03
  5. Step 5: Solve for x
    x = 7,363,513,012.03/99,141.84
  6. Step 6: Final answer
    x = 74,272.51

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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.