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Finding the Fourth Proportional to 134,806.69, 186,039.16 and 77,464.00

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Solution

The fourth proportional to 134,806.69, 186,039.16 and 77,464.00 is: 106,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,806.69 : 186,039.16 = 77,464.00 : x
  2. Step 2: Convert to fraction form
    134,806.69/186,039.16 = 77,464.00/x
  3. Step 3: Cross multiply
    134,806.69x = 186,039.16 × 77,464.00
  4. Step 4: Simplify right side
    134,806.69x = 14,411,336,560.04
  5. Step 5: Solve for x
    x = 14,411,336,560.04/134,806.69
  6. Step 6: Final answer
    x = 106,903.72

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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.