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Finding the Fourth Proportional to 158,220.48, 218,343.47 and 85,623.32

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Solution

The fourth proportional to 158,220.48, 218,343.47 and 85,623.32 is: 118,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,220.48 : 218,343.47 = 85,623.32 : x
  2. Step 2: Convert to fraction form
    158,220.48/218,343.47 = 85,623.32/x
  3. Step 3: Cross multiply
    158,220.48x = 218,343.47 × 85,623.32
  4. Step 4: Simplify right side
    158,220.48x = 18,695,291,827.75
  5. Step 5: Solve for x
    x = 18,695,291,827.75/158,220.48
  6. Step 6: Final answer
    x = 118,159.75

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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.