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Finding the Fourth Proportional to 100,402.60, 150,618 and 29,330.46

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Solution

The fourth proportional to 100,402.60, 150,618 and 29,330.46 is: 43,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,402.60 : 150,618 = 29,330.46 : x
  2. Step 2: Convert to fraction form
    100,402.60/150,618 = 29,330.46/x
  3. Step 3: Cross multiply
    100,402.60x = 150,618 × 29,330.46
  4. Step 4: Simplify right side
    100,402.60x = 4,417,695,224.28
  5. Step 5: Solve for x
    x = 4,417,695,224.28/100,402.60
  6. Step 6: Final answer
    x = 43,999.81

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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.