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Finding the Fourth Proportional to 225,154.38, 310,710.68 and 123,178.80

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Solution

The fourth proportional to 225,154.38, 310,710.68 and 123,178.80 is: 169,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,154.38 : 310,710.68 = 123,178.80 : x
  2. Step 2: Convert to fraction form
    225,154.38/310,710.68 = 123,178.80/x
  3. Step 3: Cross multiply
    225,154.38x = 310,710.68 × 123,178.80
  4. Step 4: Simplify right side
    225,154.38x = 38,272,968,709.58
  5. Step 5: Solve for x
    x = 38,272,968,709.58/225,154.38
  6. Step 6: Final answer
    x = 169,985.45

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1.5x scale

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.