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Finding the Fourth Proportional to 66,411.40, 99,643.80 and 26,971.60

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Solution

The fourth proportional to 66,411.40, 99,643.80 and 26,971.60 is: 40,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,411.40 : 99,643.80 = 26,971.60 : x
  2. Step 2: Convert to fraction form
    66,411.40/99,643.80 = 26,971.60/x
  3. Step 3: Cross multiply
    66,411.40x = 99,643.80 × 26,971.60
  4. Step 4: Simplify right side
    66,411.40x = 2,687,552,716.08
  5. Step 5: Solve for x
    x = 2,687,552,716.08/66,411.40
  6. Step 6: Final answer
    x = 40,468.24

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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.