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Finding the Fourth Proportional to 145,496.12, 218,282.16 and 45,659.48

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Solution

The fourth proportional to 145,496.12, 218,282.16 and 45,659.48 is: 68,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,496.12 : 218,282.16 = 45,659.48 : x
  2. Step 2: Convert to fraction form
    145,496.12/218,282.16 = 45,659.48/x
  3. Step 3: Cross multiply
    145,496.12x = 218,282.16 × 45,659.48
  4. Step 4: Simplify right side
    145,496.12x = 9,966,649,918.88
  5. Step 5: Solve for x
    x = 9,966,649,918.88/145,496.12
  6. Step 6: Final answer
    x = 68,501.14

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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.