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Finding the Fourth Proportional to 181,082.32, 249,881.83 and 100,509.86

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Solution

The fourth proportional to 181,082.32, 249,881.83 and 100,509.86 is: 138,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,082.32 : 249,881.83 = 100,509.86 : x
  2. Step 2: Convert to fraction form
    181,082.32/249,881.83 = 100,509.86/x
  3. Step 3: Cross multiply
    181,082.32x = 249,881.83 × 100,509.86
  4. Step 4: Simplify right side
    181,082.32x = 25,115,588,123.27
  5. Step 5: Solve for x
    x = 25,115,588,123.27/181,082.32
  6. Step 6: Final answer
    x = 138,697.08

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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.