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Finding the Fourth Proportional to 52,431, 78,659.46 and 15,495

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Solution

The fourth proportional to 52,431, 78,659.46 and 15,495 is: 23,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,431 : 78,659.46 = 15,495 : x
  2. Step 2: Convert to fraction form
    52,431/78,659.46 = 15,495/x
  3. Step 3: Cross multiply
    52,431x = 78,659.46 × 15,495
  4. Step 4: Simplify right side
    52,431x = 1,218,828,332.70
  5. Step 5: Solve for x
    x = 1,218,828,332.70/52,431
  6. Step 6: Final answer
    x = 23,246.33

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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.