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Finding the Fourth Proportional to 186,507, 279,877.08 and 75,699

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Solution

The fourth proportional to 186,507, 279,877.08 and 75,699 is: 113,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,507 : 279,877.08 = 75,699 : x
  2. Step 2: Convert to fraction form
    186,507/279,877.08 = 75,699/x
  3. Step 3: Cross multiply
    186,507x = 279,877.08 × 75,699
  4. Step 4: Simplify right side
    186,507x = 21,186,415,078.92
  5. Step 5: Solve for x
    x = 21,186,415,078.92/186,507
  6. Step 6: Final answer
    x = 113,595.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.