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Finding the Fourth Proportional to 136,897.32, 205,054.84 and 65,715.03

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Solution

The fourth proportional to 136,897.32, 205,054.84 and 65,715.03 is: 98,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,897.32 : 205,054.84 = 65,715.03 : x
  2. Step 2: Convert to fraction form
    136,897.32/205,054.84 = 65,715.03/x
  3. Step 3: Cross multiply
    136,897.32x = 205,054.84 × 65,715.03
  4. Step 4: Simplify right side
    136,897.32x = 13,475,185,044.39
  5. Step 5: Solve for x
    x = 13,475,185,044.39/136,897.32
  6. Step 6: Final answer
    x = 98,432.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.