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Finding the Fourth Proportional to 77,419.53, 116,130.47 and 35,297.91

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Solution

The fourth proportional to 77,419.53, 116,130.47 and 35,297.91 is: 52,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,419.53 : 116,130.47 = 35,297.91 : x
  2. Step 2: Convert to fraction form
    77,419.53/116,130.47 = 35,297.91/x
  3. Step 3: Cross multiply
    77,419.53x = 116,130.47 × 35,297.91
  4. Step 4: Simplify right side
    77,419.53x = 4,099,162,701.83
  5. Step 5: Solve for x
    x = 4,099,162,701.83/77,419.53
  6. Step 6: Final answer
    x = 52,947.40

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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.