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Finding the Fourth Proportional to 140,522.40, 210,710.70 and 51,730.20

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Solution

The fourth proportional to 140,522.40, 210,710.70 and 51,730.20 is: 77,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,522.40 : 210,710.70 = 51,730.20 : x
  2. Step 2: Convert to fraction form
    140,522.40/210,710.70 = 51,730.20/x
  3. Step 3: Cross multiply
    140,522.40x = 210,710.70 × 51,730.20
  4. Step 4: Simplify right side
    140,522.40x = 10,900,106,653.14
  5. Step 5: Solve for x
    x = 10,900,106,653.14/140,522.40
  6. Step 6: Final answer
    x = 77,568.46

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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.