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Finding the Fourth Proportional to 107,463.28, 148,256 and 64,948

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Solution

The fourth proportional to 107,463.28, 148,256 and 64,948 is: 89,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,463.28 : 148,256 = 64,948 : x
  2. Step 2: Convert to fraction form
    107,463.28/148,256 = 64,948/x
  3. Step 3: Cross multiply
    107,463.28x = 148,256 × 64,948
  4. Step 4: Simplify right side
    107,463.28x = 9,628,930,688
  5. Step 5: Solve for x
    x = 9,628,930,688/107,463.28
  6. Step 6: Final answer
    x = 89,602.05

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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.