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Finding the Fourth Proportional to 140,639.54, 210,975.71 and 56,429.10

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Solution

The fourth proportional to 140,639.54, 210,975.71 and 56,429.10 is: 84,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,639.54 : 210,975.71 = 56,429.10 : x
  2. Step 2: Convert to fraction form
    140,639.54/210,975.71 = 56,429.10/x
  3. Step 3: Cross multiply
    140,639.54x = 210,975.71 × 56,429.10
  4. Step 4: Simplify right side
    140,639.54x = 11,905,169,155.02
  5. Step 5: Solve for x
    x = 11,905,169,155.02/140,639.54
  6. Step 6: Final answer
    x = 84,650.23

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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.