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Finding the Fourth Proportional to 164,489.71, 227,010.95 and 99,944

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Solution

The fourth proportional to 164,489.71, 227,010.95 and 99,944 is: 137,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,489.71 : 227,010.95 = 99,944 : x
  2. Step 2: Convert to fraction form
    164,489.71/227,010.95 = 99,944/x
  3. Step 3: Cross multiply
    164,489.71x = 227,010.95 × 99,944
  4. Step 4: Simplify right side
    164,489.71x = 22,688,382,386.80
  5. Step 5: Solve for x
    x = 22,688,382,386.80/164,489.71
  6. Step 6: Final answer
    x = 137,931.93

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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.