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Finding the Fourth Proportional to 100,701.40, 138,971.50 and 55,382.89

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Solution

The fourth proportional to 100,701.40, 138,971.50 and 55,382.89 is: 76,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701.40 : 138,971.50 = 55,382.89 : x
  2. Step 2: Convert to fraction form
    100,701.40/138,971.50 = 55,382.89/x
  3. Step 3: Cross multiply
    100,701.40x = 138,971.50 × 55,382.89
  4. Step 4: Simplify right side
    100,701.40x = 7,696,642,811.75
  5. Step 5: Solve for x
    x = 7,696,642,811.75/100,701.40
  6. Step 6: Final answer
    x = 76,430.35

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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.