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Finding the Fourth Proportional to 100,919.50, 139,268.91 and 56,207.50

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Solution

The fourth proportional to 100,919.50, 139,268.91 and 56,207.50 is: 77,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,919.50 : 139,268.91 = 56,207.50 : x
  2. Step 2: Convert to fraction form
    100,919.50/139,268.91 = 56,207.50/x
  3. Step 3: Cross multiply
    100,919.50x = 139,268.91 × 56,207.50
  4. Step 4: Simplify right side
    100,919.50x = 7,827,957,258.83
  5. Step 5: Solve for x
    x = 7,827,957,258.83/100,919.50
  6. Step 6: Final answer
    x = 77,566.35

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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.