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Finding the Fourth Proportional to 149,130, 205,970.04 and 101,303.28

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Solution

The fourth proportional to 149,130, 205,970.04 and 101,303.28 is: 139,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,130 : 205,970.04 = 101,303.28 : x
  2. Step 2: Convert to fraction form
    149,130/205,970.04 = 101,303.28/x
  3. Step 3: Cross multiply
    149,130x = 205,970.04 × 101,303.28
  4. Step 4: Simplify right side
    149,130x = 20,865,440,633.73
  5. Step 5: Solve for x
    x = 20,865,440,633.73/149,130
  6. Step 6: Final answer
    x = 139,914.44

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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.