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Finding the Fourth Proportional to 100,076, 138,050.28 and 64,271.48

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Solution

The fourth proportional to 100,076, 138,050.28 and 64,271.48 is: 88,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,076 : 138,050.28 = 64,271.48 : x
  2. Step 2: Convert to fraction form
    100,076/138,050.28 = 64,271.48/x
  3. Step 3: Cross multiply
    100,076x = 138,050.28 × 64,271.48
  4. Step 4: Simplify right side
    100,076x = 8,872,695,810.01
  5. Step 5: Solve for x
    x = 8,872,695,810.01/100,076
  6. Step 6: Final answer
    x = 88,659.58

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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.