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Finding the Fourth Proportional to 114,703.89, 172,079.72 and 57,809.76

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Solution

The fourth proportional to 114,703.89, 172,079.72 and 57,809.76 is: 86,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,703.89 : 172,079.72 = 57,809.76 : x
  2. Step 2: Convert to fraction form
    114,703.89/172,079.72 = 57,809.76/x
  3. Step 3: Cross multiply
    114,703.89x = 172,079.72 × 57,809.76
  4. Step 4: Simplify right side
    114,703.89x = 9,947,887,314.07
  5. Step 5: Solve for x
    x = 9,947,887,314.07/114,703.89
  6. Step 6: Final answer
    x = 86,726.68

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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.