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Finding the Fourth Proportional to 145,362.84, 200,543.76 and 107,213.96

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Solution

The fourth proportional to 145,362.84, 200,543.76 and 107,213.96 is: 147,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,362.84 : 200,543.76 = 107,213.96 : x
  2. Step 2: Convert to fraction form
    145,362.84/200,543.76 = 107,213.96/x
  3. Step 3: Cross multiply
    145,362.84x = 200,543.76 × 107,213.96
  4. Step 4: Simplify right side
    145,362.84x = 21,501,090,662.89
  5. Step 5: Solve for x
    x = 21,501,090,662.89/145,362.84
  6. Step 6: Final answer
    x = 147,913.25

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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.