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Finding the Fourth Proportional to 209,368.55, 288,932.28 and 113,875.90

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Solution

The fourth proportional to 209,368.55, 288,932.28 and 113,875.90 is: 157,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,368.55 : 288,932.28 = 113,875.90 : x
  2. Step 2: Convert to fraction form
    209,368.55/288,932.28 = 113,875.90/x
  3. Step 3: Cross multiply
    209,368.55x = 288,932.28 × 113,875.90
  4. Step 4: Simplify right side
    209,368.55x = 32,902,423,424.05
  5. Step 5: Solve for x
    x = 32,902,423,424.05/209,368.55
  6. Step 6: Final answer
    x = 157,150.74

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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.