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Finding the Fourth Proportional to 101,140.90, 139,541.16 and 65,352.00

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Solution

The fourth proportional to 101,140.90, 139,541.16 and 65,352.00 is: 90,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,140.90 : 139,541.16 = 65,352.00 : x
  2. Step 2: Convert to fraction form
    101,140.90/139,541.16 = 65,352.00/x
  3. Step 3: Cross multiply
    101,140.90x = 139,541.16 × 65,352.00
  4. Step 4: Simplify right side
    101,140.90x = 9,119,293,190.61
  5. Step 5: Solve for x
    x = 9,119,293,190.61/101,140.90
  6. Step 6: Final answer
    x = 90,164.25

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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.