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Finding the Fourth Proportional to 90,474.17, 135,664.88 and 47,802.50

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Solution

The fourth proportional to 90,474.17, 135,664.88 and 47,802.50 is: 71,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,474.17 : 135,664.88 = 47,802.50 : x
  2. Step 2: Convert to fraction form
    90,474.17/135,664.88 = 47,802.50/x
  3. Step 3: Cross multiply
    90,474.17x = 135,664.88 × 47,802.50
  4. Step 4: Simplify right side
    90,474.17x = 6,485,120,017.61
  5. Step 5: Solve for x
    x = 6,485,120,017.61/90,474.17
  6. Step 6: Final answer
    x = 71,679.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.