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Finding the Fourth Proportional to 158,454, 218,668.25 and 86,832.48

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Solution

The fourth proportional to 158,454, 218,668.25 and 86,832.48 is: 119,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,454 : 218,668.25 = 86,832.48 : x
  2. Step 2: Convert to fraction form
    158,454/218,668.25 = 86,832.48/x
  3. Step 3: Cross multiply
    158,454x = 218,668.25 × 86,832.48
  4. Step 4: Simplify right side
    158,454x = 18,987,506,444.76
  5. Step 5: Solve for x
    x = 18,987,506,444.76/158,454
  6. Step 6: Final answer
    x = 119,829.77

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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.