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Finding the Fourth Proportional to 141,457, 195,210.66 and 77,798.92

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Solution

The fourth proportional to 141,457, 195,210.66 and 77,798.92 is: 107,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,457 : 195,210.66 = 77,798.92 : x
  2. Step 2: Convert to fraction form
    141,457/195,210.66 = 77,798.92/x
  3. Step 3: Cross multiply
    141,457x = 195,210.66 × 77,798.92
  4. Step 4: Simplify right side
    141,457x = 15,187,178,520.49
  5. Step 5: Solve for x
    x = 15,187,178,520.49/141,457
  6. Step 6: Final answer
    x = 107,362.51

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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.