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Finding the Fourth Proportional to 157,807.50, 217,780.83 and 90,739.50

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Solution

The fourth proportional to 157,807.50, 217,780.83 and 90,739.50 is: 125,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,807.50 : 217,780.83 = 90,739.50 : x
  2. Step 2: Convert to fraction form
    157,807.50/217,780.83 = 90,739.50/x
  3. Step 3: Cross multiply
    157,807.50x = 217,780.83 × 90,739.50
  4. Step 4: Simplify right side
    157,807.50x = 19,761,323,623.79
  5. Step 5: Solve for x
    x = 19,761,323,623.79/157,807.50
  6. Step 6: Final answer
    x = 125,224.24

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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.