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Finding the Fourth Proportional to 229,582.55, 316,775.31 and 138,920.87

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Solution

The fourth proportional to 229,582.55, 316,775.31 and 138,920.87 is: 191,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,582.55 : 316,775.31 = 138,920.87 : x
  2. Step 2: Convert to fraction form
    229,582.55/316,775.31 = 138,920.87/x
  3. Step 3: Cross multiply
    229,582.55x = 316,775.31 × 138,920.87
  4. Step 4: Simplify right side
    229,582.55x = 44,006,701,930.70
  5. Step 5: Solve for x
    x = 44,006,701,930.70/229,582.55
  6. Step 6: Final answer
    x = 191,681.39

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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.