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Finding the Fourth Proportional to 140,569.65, 210,870.87 and 140,569.65

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Solution

The fourth proportional to 140,569.65, 210,870.87 and 140,569.65 is: 210,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,569.65 : 210,870.87 = 140,569.65 : x
  2. Step 2: Convert to fraction form
    140,569.65/210,870.87 = 140,569.65/x
  3. Step 3: Cross multiply
    140,569.65x = 210,870.87 × 140,569.65
  4. Step 4: Simplify right side
    140,569.65x = 29,642,044,391.10
  5. Step 5: Solve for x
    x = 29,642,044,391.10/140,569.65
  6. Step 6: Final answer
    x = 210,870.87

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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.