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Finding the Fourth Proportional to 141,402, 195,139.32 and 77,744.40

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Solution

The fourth proportional to 141,402, 195,139.32 and 77,744.40 is: 107,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,402 : 195,139.32 = 77,744.40 : x
  2. Step 2: Convert to fraction form
    141,402/195,139.32 = 77,744.40/x
  3. Step 3: Cross multiply
    141,402x = 195,139.32 × 77,744.40
  4. Step 4: Simplify right side
    141,402x = 15,170,989,349.81
  5. Step 5: Solve for x
    x = 15,170,989,349.81/141,402
  6. Step 6: Final answer
    x = 107,289.78

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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.