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Finding the Fourth Proportional to 141,088, 194,700.86 and 77,426.84

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Solution

The fourth proportional to 141,088, 194,700.86 and 77,426.84 is: 106,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,088 : 194,700.86 = 77,426.84 : x
  2. Step 2: Convert to fraction form
    141,088/194,700.86 = 77,426.84/x
  3. Step 3: Cross multiply
    141,088x = 194,700.86 × 77,426.84
  4. Step 4: Simplify right side
    141,088x = 15,075,072,335.08
  5. Step 5: Solve for x
    x = 15,075,072,335.08/141,088
  6. Step 6: Final answer
    x = 106,848.72

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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.