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Finding the Fourth Proportional to 141,907.79, 195,834.28 and 77,376.50

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Solution

The fourth proportional to 141,907.79, 195,834.28 and 77,376.50 is: 106,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,907.79 : 195,834.28 = 77,376.50 : x
  2. Step 2: Convert to fraction form
    141,907.79/195,834.28 = 77,376.50/x
  3. Step 3: Cross multiply
    141,907.79x = 195,834.28 × 77,376.50
  4. Step 4: Simplify right side
    141,907.79x = 15,152,971,462.56
  5. Step 5: Solve for x
    x = 15,152,971,462.56/141,907.79
  6. Step 6: Final answer
    x = 106,780.40

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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.