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Finding the Fourth Proportional to 141,152.60, 194,784.67 and 77,491.87

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Solution

The fourth proportional to 141,152.60, 194,784.67 and 77,491.87 is: 106,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,152.60 : 194,784.67 = 77,491.87 : x
  2. Step 2: Convert to fraction form
    141,152.60/194,784.67 = 77,491.87/x
  3. Step 3: Cross multiply
    141,152.60x = 194,784.67 × 77,491.87
  4. Step 4: Simplify right side
    141,152.60x = 15,094,228,325.63
  5. Step 5: Solve for x
    x = 15,094,228,325.63/141,152.60
  6. Step 6: Final answer
    x = 106,935.53

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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.