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Finding the Fourth Proportional to 100,070.57, 138,074.78 and 59,776.45

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Solution

The fourth proportional to 100,070.57, 138,074.78 and 59,776.45 is: 82,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,070.57 : 138,074.78 = 59,776.45 : x
  2. Step 2: Convert to fraction form
    100,070.57/138,074.78 = 59,776.45/x
  3. Step 3: Cross multiply
    100,070.57x = 138,074.78 × 59,776.45
  4. Step 4: Simplify right side
    100,070.57x = 8,253,619,987.19
  5. Step 5: Solve for x
    x = 8,253,619,987.19/100,070.57
  6. Step 6: Final answer
    x = 82,477.99

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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.