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Finding the Fourth Proportional to 181,440, 272,276.64 and 70,632

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Solution

The fourth proportional to 181,440, 272,276.64 and 70,632 is: 105,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,440 : 272,276.64 = 70,632 : x
  2. Step 2: Convert to fraction form
    181,440/272,276.64 = 70,632/x
  3. Step 3: Cross multiply
    181,440x = 272,276.64 × 70,632
  4. Step 4: Simplify right side
    181,440x = 19,231,443,636.48
  5. Step 5: Solve for x
    x = 19,231,443,636.48/181,440
  6. Step 6: Final answer
    x = 105,993.41

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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.