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Finding the Fourth Proportional to 106,491.60, 147,005.64 and 68,784.24

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Solution

The fourth proportional to 106,491.60, 147,005.64 and 68,784.24 is: 94,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,491.60 : 147,005.64 = 68,784.24 : x
  2. Step 2: Convert to fraction form
    106,491.60/147,005.64 = 68,784.24/x
  3. Step 3: Cross multiply
    106,491.60x = 147,005.64 × 68,784.24
  4. Step 4: Simplify right side
    106,491.60x = 10,111,671,223.11
  5. Step 5: Solve for x
    x = 10,111,671,223.11/106,491.60
  6. Step 6: Final answer
    x = 94,952.76

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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.