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Finding the Fourth Proportional to 106,690.86, 147,237.57 and 61,368.75

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Solution

The fourth proportional to 106,690.86, 147,237.57 and 61,368.75 is: 84,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,690.86 : 147,237.57 = 61,368.75 : x
  2. Step 2: Convert to fraction form
    106,690.86/147,237.57 = 61,368.75/x
  3. Step 3: Cross multiply
    106,690.86x = 147,237.57 × 61,368.75
  4. Step 4: Simplify right side
    106,690.86x = 9,035,785,623.94
  5. Step 5: Solve for x
    x = 9,035,785,623.94/106,690.86
  6. Step 6: Final answer
    x = 84,691.28

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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.