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Finding the Fourth Proportional to 136,838.40, 188,835.20 and 76,410.08

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Solution

The fourth proportional to 136,838.40, 188,835.20 and 76,410.08 is: 105,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,838.40 : 188,835.20 = 76,410.08 : x
  2. Step 2: Convert to fraction form
    136,838.40/188,835.20 = 76,410.08/x
  3. Step 3: Cross multiply
    136,838.40x = 188,835.20 × 76,410.08
  4. Step 4: Simplify right side
    136,838.40x = 14,428,911,412.59
  5. Step 5: Solve for x
    x = 14,428,911,412.59/136,838.40
  6. Step 6: Final answer
    x = 105,444.90

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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.