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Finding the Fourth Proportional to 101,032.11, 139,390.47 and 65,246.31

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Solution

The fourth proportional to 101,032.11, 139,390.47 and 65,246.31 is: 90,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,032.11 : 139,390.47 = 65,246.31 : x
  2. Step 2: Convert to fraction form
    101,032.11/139,390.47 = 65,246.31/x
  3. Step 3: Cross multiply
    101,032.11x = 139,390.47 × 65,246.31
  4. Step 4: Simplify right side
    101,032.11x = 9,094,713,816.67
  5. Step 5: Solve for x
    x = 9,094,713,816.67/101,032.11
  6. Step 6: Final answer
    x = 90,018.05

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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.