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Finding the Fourth Proportional to 141,457.94, 195,208.05 and 77,795.78

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Solution

The fourth proportional to 141,457.94, 195,208.05 and 77,795.78 is: 107,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,457.94 : 195,208.05 = 77,795.78 : x
  2. Step 2: Convert to fraction form
    141,457.94/195,208.05 = 77,795.78/x
  3. Step 3: Cross multiply
    141,457.94x = 195,208.05 × 77,795.78
  4. Step 4: Simplify right side
    141,457.94x = 15,186,363,000.05
  5. Step 5: Solve for x
    x = 15,186,363,000.05/141,457.94
  6. Step 6: Final answer
    x = 107,356.03

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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.