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Finding the Fourth Proportional to 101,690, 140,332.24 and 61,946

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Solution

The fourth proportional to 101,690, 140,332.24 and 61,946 is: 85,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,690 : 140,332.24 = 61,946 : x
  2. Step 2: Convert to fraction form
    101,690/140,332.24 = 61,946/x
  3. Step 3: Cross multiply
    101,690x = 140,332.24 × 61,946
  4. Step 4: Simplify right side
    101,690x = 8,693,020,939.04
  5. Step 5: Solve for x
    x = 8,693,020,939.04/101,690
  6. Step 6: Final answer
    x = 85,485.50

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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.