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Finding the Fourth Proportional to 181,076.84, 249,881.37 and 100,502

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Solution

The fourth proportional to 181,076.84, 249,881.37 and 100,502 is: 138,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,076.84 : 249,881.37 = 100,502 : x
  2. Step 2: Convert to fraction form
    181,076.84/249,881.37 = 100,502/x
  3. Step 3: Cross multiply
    181,076.84x = 249,881.37 × 100,502
  4. Step 4: Simplify right side
    181,076.84x = 25,113,577,447.74
  5. Step 5: Solve for x
    x = 25,113,577,447.74/181,076.84
  6. Step 6: Final answer
    x = 138,690.17

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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.