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Finding the Fourth Proportional to 100,064.52, 138,075.84 and 64,302.84

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Solution

The fourth proportional to 100,064.52, 138,075.84 and 64,302.84 is: 88,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,064.52 : 138,075.84 = 64,302.84 : x
  2. Step 2: Convert to fraction form
    100,064.52/138,075.84 = 64,302.84/x
  3. Step 3: Cross multiply
    100,064.52x = 138,075.84 × 64,302.84
  4. Step 4: Simplify right side
    100,064.52x = 8,878,668,647.39
  5. Step 5: Solve for x
    x = 8,878,668,647.39/100,064.52
  6. Step 6: Final answer
    x = 88,729.44

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1.5x scale

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.