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Finding the Fourth Proportional to 52,470.40, 78,698.40 and 17,406.40

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Solution

The fourth proportional to 52,470.40, 78,698.40 and 17,406.40 is: 26,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470.40 : 78,698.40 = 17,406.40 : x
  2. Step 2: Convert to fraction form
    52,470.40/78,698.40 = 17,406.40/x
  3. Step 3: Cross multiply
    52,470.40x = 78,698.40 × 17,406.40
  4. Step 4: Simplify right side
    52,470.40x = 1,369,855,829.76
  5. Step 5: Solve for x
    x = 1,369,855,829.76/52,470.40
  6. Step 6: Final answer
    x = 26,107.21

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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.