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Finding the Fourth Proportional to 137,792.16, 190,149.12 and 77,361.12

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Solution

The fourth proportional to 137,792.16, 190,149.12 and 77,361.12 is: 106,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,792.16 : 190,149.12 = 77,361.12 : x
  2. Step 2: Convert to fraction form
    137,792.16/190,149.12 = 77,361.12/x
  3. Step 3: Cross multiply
    137,792.16x = 190,149.12 × 77,361.12
  4. Step 4: Simplify right side
    137,792.16x = 14,710,148,890.21
  5. Step 5: Solve for x
    x = 14,710,148,890.21/137,792.16
  6. Step 6: Final answer
    x = 106,756.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.