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Finding the Fourth Proportional to 140,543.40, 210,815.10 and 70,559.40

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Solution

The fourth proportional to 140,543.40, 210,815.10 and 70,559.40 is: 105,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,543.40 : 210,815.10 = 70,559.40 : x
  2. Step 2: Convert to fraction form
    140,543.40/210,815.10 = 70,559.40/x
  3. Step 3: Cross multiply
    140,543.40x = 210,815.10 × 70,559.40
  4. Step 4: Simplify right side
    140,543.40x = 14,874,986,966.94
  5. Step 5: Solve for x
    x = 14,874,986,966.94/140,543.40
  6. Step 6: Final answer
    x = 105,839.10

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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.