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Finding the Fourth Proportional to 65,520, 90,417.64 and 35,712

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Solution

The fourth proportional to 65,520, 90,417.64 and 35,712 is: 49,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,520 : 90,417.64 = 35,712 : x
  2. Step 2: Convert to fraction form
    65,520/90,417.64 = 35,712/x
  3. Step 3: Cross multiply
    65,520x = 90,417.64 × 35,712
  4. Step 4: Simplify right side
    65,520x = 3,228,994,759.68
  5. Step 5: Solve for x
    x = 3,228,994,759.68/65,520
  6. Step 6: Final answer
    x = 49,282.58

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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.