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Finding the Fourth Proportional to 229,574.76, 316,838.82 and 138,980.64

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Solution

The fourth proportional to 229,574.76, 316,838.82 and 138,980.64 is: 191,808.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,574.76 : 316,838.82 = 138,980.64 : x
  2. Step 2: Convert to fraction form
    229,574.76/316,838.82 = 138,980.64/x
  3. Step 3: Cross multiply
    229,574.76x = 316,838.82 × 138,980.64
  4. Step 4: Simplify right side
    229,574.76x = 44,034,461,980.44
  5. Step 5: Solve for x
    x = 44,034,461,980.44/229,574.76
  6. Step 6: Final answer
    x = 191,808.81

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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.