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Finding the Fourth Proportional to 65,403.74, 90,284.28 and 44,211.72

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Solution

The fourth proportional to 65,403.74, 90,284.28 and 44,211.72 is: 61,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,403.74 : 90,284.28 = 44,211.72 : x
  2. Step 2: Convert to fraction form
    65,403.74/90,284.28 = 44,211.72/x
  3. Step 3: Cross multiply
    65,403.74x = 90,284.28 × 44,211.72
  4. Step 4: Simplify right side
    65,403.74x = 3,991,623,307.76
  5. Step 5: Solve for x
    x = 3,991,623,307.76/65,403.74
  6. Step 6: Final answer
    x = 61,030.51

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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.