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Finding the Fourth Proportional to 134,874.10, 186,111.84 and 77,501.80

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Solution

The fourth proportional to 134,874.10, 186,111.84 and 77,501.80 is: 106,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,874.10 : 186,111.84 = 77,501.80 : x
  2. Step 2: Convert to fraction form
    134,874.10/186,111.84 = 77,501.80/x
  3. Step 3: Cross multiply
    134,874.10x = 186,111.84 × 77,501.80
  4. Step 4: Simplify right side
    134,874.10x = 14,424,002,601.31
  5. Step 5: Solve for x
    x = 14,424,002,601.31/134,874.10
  6. Step 6: Final answer
    x = 106,944.20

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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.