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Finding the Fourth Proportional to 52,366.60, 78,547.74 and 21,201.40

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Solution

The fourth proportional to 52,366.60, 78,547.74 and 21,201.40 is: 31,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,366.60 : 78,547.74 = 21,201.40 : x
  2. Step 2: Convert to fraction form
    52,366.60/78,547.74 = 21,201.40/x
  3. Step 3: Cross multiply
    52,366.60x = 78,547.74 × 21,201.40
  4. Step 4: Simplify right side
    52,366.60x = 1,665,322,054.84
  5. Step 5: Solve for x
    x = 1,665,322,054.84/52,366.60
  6. Step 6: Final answer
    x = 31,801.23

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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.