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Finding the Fourth Proportional to 229,731.49, 316,983 and 134,219.74

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Solution

The fourth proportional to 229,731.49, 316,983 and 134,219.74 is: 185,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,731.49 : 316,983 = 134,219.74 : x
  2. Step 2: Convert to fraction form
    229,731.49/316,983 = 134,219.74/x
  3. Step 3: Cross multiply
    229,731.49x = 316,983 × 134,219.74
  4. Step 4: Simplify right side
    229,731.49x = 42,545,374,259.51
  5. Step 5: Solve for x
    x = 42,545,374,259.51/229,731.49
  6. Step 6: Final answer
    x = 185,196.09

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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.