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Finding the Fourth Proportional to 100,070, 138,042 and 64,265.48

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Solution

The fourth proportional to 100,070, 138,042 and 64,265.48 is: 88,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,070 : 138,042 = 64,265.48 : x
  2. Step 2: Convert to fraction form
    100,070/138,042 = 64,265.48/x
  3. Step 3: Cross multiply
    100,070x = 138,042 × 64,265.48
  4. Step 4: Simplify right side
    100,070x = 8,871,335,390.16
  5. Step 5: Solve for x
    x = 8,871,335,390.16/100,070
  6. Step 6: Final answer
    x = 88,651.30

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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.