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Finding the Fourth Proportional to 140,792.76, 194,294.70 and 77,130.59

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Solution

The fourth proportional to 140,792.76, 194,294.70 and 77,130.59 is: 106,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,792.76 : 194,294.70 = 77,130.59 : x
  2. Step 2: Convert to fraction form
    140,792.76/194,294.70 = 77,130.59/x
  3. Step 3: Cross multiply
    140,792.76x = 194,294.70 × 77,130.59
  4. Step 4: Simplify right side
    140,792.76x = 14,986,063,873.40
  5. Step 5: Solve for x
    x = 14,986,063,873.40/140,792.76
  6. Step 6: Final answer
    x = 106,440.59

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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.