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Finding the Fourth Proportional to 89,891.60, 124,075.08 and 52,178

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Solution

The fourth proportional to 89,891.60, 124,075.08 and 52,178 is: 72,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,891.60 : 124,075.08 = 52,178 : x
  2. Step 2: Convert to fraction form
    89,891.60/124,075.08 = 52,178/x
  3. Step 3: Cross multiply
    89,891.60x = 124,075.08 × 52,178
  4. Step 4: Simplify right side
    89,891.60x = 6,473,989,524.24
  5. Step 5: Solve for x
    x = 6,473,989,524.24/89,891.60
  6. Step 6: Final answer
    x = 72,019.96

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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.