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Finding the Fourth Proportional to 115,101, 158,842.62 and 64,800

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Solution

The fourth proportional to 115,101, 158,842.62 and 64,800 is: 89,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,101 : 158,842.62 = 64,800 : x
  2. Step 2: Convert to fraction form
    115,101/158,842.62 = 64,800/x
  3. Step 3: Cross multiply
    115,101x = 158,842.62 × 64,800
  4. Step 4: Simplify right side
    115,101x = 10,293,001,776
  5. Step 5: Solve for x
    x = 10,293,001,776/115,101
  6. Step 6: Final answer
    x = 89,425.82

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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.