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Finding the Fourth Proportional to 183,430.90, 274,927.65 and 76,814.65

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Solution

The fourth proportional to 183,430.90, 274,927.65 and 76,814.65 is: 115,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,430.90 : 274,927.65 = 76,814.65 : x
  2. Step 2: Convert to fraction form
    183,430.90/274,927.65 = 76,814.65/x
  3. Step 3: Cross multiply
    183,430.90x = 274,927.65 × 76,814.65
  4. Step 4: Simplify right side
    183,430.90x = 21,118,471,210.07
  5. Step 5: Solve for x
    x = 21,118,471,210.07/183,430.90
  6. Step 6: Final answer
    x = 115,130.39

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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.