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Finding the Fourth Proportional to 106,859, 147,463.80 and 76,288.52

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Solution

The fourth proportional to 106,859, 147,463.80 and 76,288.52 is: 105,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,859 : 147,463.80 = 76,288.52 : x
  2. Step 2: Convert to fraction form
    106,859/147,463.80 = 76,288.52/x
  3. Step 3: Cross multiply
    106,859x = 147,463.80 × 76,288.52
  4. Step 4: Simplify right side
    106,859x = 11,249,795,055.58
  5. Step 5: Solve for x
    x = 11,249,795,055.58/106,859
  6. Step 6: Final answer
    x = 105,277.00

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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.