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Finding the Fourth Proportional to 142,429.65, 213,718.74 and 103,309.68

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Solution

The fourth proportional to 142,429.65, 213,718.74 and 103,309.68 is: 155,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,429.65 : 213,718.74 = 103,309.68 : x
  2. Step 2: Convert to fraction form
    142,429.65/213,718.74 = 103,309.68/x
  3. Step 3: Cross multiply
    142,429.65x = 213,718.74 × 103,309.68
  4. Step 4: Simplify right side
    142,429.65x = 22,079,214,639.40
  5. Step 5: Solve for x
    x = 22,079,214,639.40/142,429.65
  6. Step 6: Final answer
    x = 155,018.39

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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.