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Finding the Fourth Proportional to 105,522.40, 158,672.40 and 88,415.20

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Solution

The fourth proportional to 105,522.40, 158,672.40 and 88,415.20 is: 132,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,522.40 : 158,672.40 = 88,415.20 : x
  2. Step 2: Convert to fraction form
    105,522.40/158,672.40 = 88,415.20/x
  3. Step 3: Cross multiply
    105,522.40x = 158,672.40 × 88,415.20
  4. Step 4: Simplify right side
    105,522.40x = 14,029,051,980.48
  5. Step 5: Solve for x
    x = 14,029,051,980.48/105,522.40
  6. Step 6: Final answer
    x = 132,948.57

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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.