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Finding the Fourth Proportional to 100,640.94, 138,897.63 and 64,934.82

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Solution

The fourth proportional to 100,640.94, 138,897.63 and 64,934.82 is: 89,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,640.94 : 138,897.63 = 64,934.82 : x
  2. Step 2: Convert to fraction form
    100,640.94/138,897.63 = 64,934.82/x
  3. Step 3: Cross multiply
    100,640.94x = 138,897.63 × 64,934.82
  4. Step 4: Simplify right side
    100,640.94x = 9,019,292,602.48
  5. Step 5: Solve for x
    x = 9,019,292,602.48/100,640.94
  6. Step 6: Final answer
    x = 89,618.53

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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.