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Finding the Fourth Proportional to 145,409.61, 200,665.58 and 81,747.93

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Solution

The fourth proportional to 145,409.61, 200,665.58 and 81,747.93 is: 112,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,409.61 : 200,665.58 = 81,747.93 : x
  2. Step 2: Convert to fraction form
    145,409.61/200,665.58 = 81,747.93/x
  3. Step 3: Cross multiply
    145,409.61x = 200,665.58 × 81,747.93
  4. Step 4: Simplify right side
    145,409.61x = 16,403,995,378.51
  5. Step 5: Solve for x
    x = 16,403,995,378.51/145,409.61
  6. Step 6: Final answer
    x = 112,812.32

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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.