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Finding the Fourth Proportional to 140,078.08, 210,156 and 77,792.32

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Solution

The fourth proportional to 140,078.08, 210,156 and 77,792.32 is: 116,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,078.08 : 210,156 = 77,792.32 : x
  2. Step 2: Convert to fraction form
    140,078.08/210,156 = 77,792.32/x
  3. Step 3: Cross multiply
    140,078.08x = 210,156 × 77,792.32
  4. Step 4: Simplify right side
    140,078.08x = 16,348,522,801.92
  5. Step 5: Solve for x
    x = 16,348,522,801.92/140,078.08
  6. Step 6: Final answer
    x = 116,710.07

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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.